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Finding the Fourth Proportional to 9,612.81, 14,414.10 and 4,930.93

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Solution

The fourth proportional to 9,612.81, 14,414.10 and 4,930.93 is: 7,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.81 : 14,414.10 = 4,930.93 : x
  2. Step 2: Convert to fraction form
    9,612.81/14,414.10 = 4,930.93/x
  3. Step 3: Cross multiply
    9,612.81x = 14,414.10 × 4,930.93
  4. Step 4: Simplify right side
    9,612.81x = 71,074,918.11
  5. Step 5: Solve for x
    x = 71,074,918.11/9,612.81
  6. Step 6: Final answer
    x = 7,393.77

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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.