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Finding the Fourth Proportional to 9,612.74, 14,420.66 and 4,066.13

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Solution

The fourth proportional to 9,612.74, 14,420.66 and 4,066.13 is: 6,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.74 : 14,420.66 = 4,066.13 : x
  2. Step 2: Convert to fraction form
    9,612.74/14,420.66 = 4,066.13/x
  3. Step 3: Cross multiply
    9,612.74x = 14,420.66 × 4,066.13
  4. Step 4: Simplify right side
    9,612.74x = 58,636,293.97
  5. Step 5: Solve for x
    x = 58,636,293.97/9,612.74
  6. Step 6: Final answer
    x = 6,099.85

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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.