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Finding the Fourth Proportional to 9,807.38, 13,533.90 and 5,331.02

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Solution

The fourth proportional to 9,807.38, 13,533.90 and 5,331.02 is: 7,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.38 : 13,533.90 = 5,331.02 : x
  2. Step 2: Convert to fraction form
    9,807.38/13,533.90 = 5,331.02/x
  3. Step 3: Cross multiply
    9,807.38x = 13,533.90 × 5,331.02
  4. Step 4: Simplify right side
    9,807.38x = 72,149,397.25
  5. Step 5: Solve for x
    x = 72,149,397.25/9,807.38
  6. Step 6: Final answer
    x = 7,356.65

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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.