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Finding the Fourth Proportional to 9,708.64, 14,562.96 and 2,688.72

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Solution

The fourth proportional to 9,708.64, 14,562.96 and 2,688.72 is: 4,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.64 : 14,562.96 = 2,688.72 : x
  2. Step 2: Convert to fraction form
    9,708.64/14,562.96 = 2,688.72/x
  3. Step 3: Cross multiply
    9,708.64x = 14,562.96 × 2,688.72
  4. Step 4: Simplify right side
    9,708.64x = 39,155,721.81
  5. Step 5: Solve for x
    x = 39,155,721.81/9,708.64
  6. Step 6: Final answer
    x = 4,033.08

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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.