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Finding the Fourth Proportional to 9,712.71, 14,567.99 and 2,787.03

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Solution

The fourth proportional to 9,712.71, 14,567.99 and 2,787.03 is: 4,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.71 : 14,567.99 = 2,787.03 : x
  2. Step 2: Convert to fraction form
    9,712.71/14,567.99 = 2,787.03/x
  3. Step 3: Cross multiply
    9,712.71x = 14,567.99 × 2,787.03
  4. Step 4: Simplify right side
    9,712.71x = 40,601,411.23
  5. Step 5: Solve for x
    x = 40,601,411.23/9,712.71
  6. Step 6: Final answer
    x = 4,180.24

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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.