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Finding the Fourth Proportional to 9,787.68, 13,506.96 and 5,596

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Solution

The fourth proportional to 9,787.68, 13,506.96 and 5,596 is: 7,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.68 : 13,506.96 = 5,596 : x
  2. Step 2: Convert to fraction form
    9,787.68/13,506.96 = 5,596/x
  3. Step 3: Cross multiply
    9,787.68x = 13,506.96 × 5,596
  4. Step 4: Simplify right side
    9,787.68x = 75,584,948.16
  5. Step 5: Solve for x
    x = 75,584,948.16/9,787.68
  6. Step 6: Final answer
    x = 7,722.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.