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Finding the Fourth Proportional to 9,732.46, 14,607.78 and 4,470.31

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Solution

The fourth proportional to 9,732.46, 14,607.78 and 4,470.31 is: 6,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.46 : 14,607.78 = 4,470.31 : x
  2. Step 2: Convert to fraction form
    9,732.46/14,607.78 = 4,470.31/x
  3. Step 3: Cross multiply
    9,732.46x = 14,607.78 × 4,470.31
  4. Step 4: Simplify right side
    9,732.46x = 65,301,305.01
  5. Step 5: Solve for x
    x = 65,301,305.01/9,732.46
  6. Step 6: Final answer
    x = 6,709.64

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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.