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Finding the Fourth Proportional to 9,866.16, 13,615.38 and 5,390.10

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Solution

The fourth proportional to 9,866.16, 13,615.38 and 5,390.10 is: 7,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.16 : 13,615.38 = 5,390.10 : x
  2. Step 2: Convert to fraction form
    9,866.16/13,615.38 = 5,390.10/x
  3. Step 3: Cross multiply
    9,866.16x = 13,615.38 × 5,390.10
  4. Step 4: Simplify right side
    9,866.16x = 73,388,259.74
  5. Step 5: Solve for x
    x = 73,388,259.74/9,866.16
  6. Step 6: Final answer
    x = 7,438.38

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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.