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Finding the Fourth Proportional to 9,807,396.10, 13,533,865.98 and 5,396,709.16

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Solution

The fourth proportional to 9,807,396.10, 13,533,865.98 and 5,396,709.16 is: 7,447,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807,396.10 : 13,533,865.98 = 5,396,709.16 : x
  2. Step 2: Convert to fraction form
    9,807,396.10/13,533,865.98 = 5,396,709.16/x
  3. Step 3: Cross multiply
    9,807,396.10x = 13,533,865.98 × 5,396,709.16
  4. Step 4: Simplify right side
    9,807,396.10x = 73,038,338,504,478.38
  5. Step 5: Solve for x
    x = 73,038,338,504,478.38/9,807,396.10
  6. Step 6: Final answer
    x = 7,447,271.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.