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Finding the Fourth Proportional to 9,189.14, 12,688.16 and 7,061.31

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Solution

The fourth proportional to 9,189.14, 12,688.16 and 7,061.31 is: 9,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.14 : 12,688.16 = 7,061.31 : x
  2. Step 2: Convert to fraction form
    9,189.14/12,688.16 = 7,061.31/x
  3. Step 3: Cross multiply
    9,189.14x = 12,688.16 × 7,061.31
  4. Step 4: Simplify right side
    9,189.14x = 89,594,995.78
  5. Step 5: Solve for x
    x = 89,594,995.78/9,189.14
  6. Step 6: Final answer
    x = 9,750.10

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