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Finding the Fourth Proportional to 9,114.10, 13,685.55 and 6,666.10

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Solution

The fourth proportional to 9,114.10, 13,685.55 and 6,666.10 is: 10,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.10 : 13,685.55 = 6,666.10 : x
  2. Step 2: Convert to fraction form
    9,114.10/13,685.55 = 6,666.10/x
  3. Step 3: Cross multiply
    9,114.10x = 13,685.55 × 6,666.10
  4. Step 4: Simplify right side
    9,114.10x = 91,229,244.86
  5. Step 5: Solve for x
    x = 91,229,244.86/9,114.10
  6. Step 6: Final answer
    x = 10,009.68

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