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Finding the Fourth Proportional to 9,097.70, 13,646.55 and 9,040.10

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Solution

The fourth proportional to 9,097.70, 13,646.55 and 9,040.10 is: 13,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.70 : 13,646.55 = 9,040.10 : x
  2. Step 2: Convert to fraction form
    9,097.70/13,646.55 = 9,040.10/x
  3. Step 3: Cross multiply
    9,097.70x = 13,646.55 × 9,040.10
  4. Step 4: Simplify right side
    9,097.70x = 123,366,176.66
  5. Step 5: Solve for x
    x = 123,366,176.66/9,097.70
  6. Step 6: Final answer
    x = 13,560.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.