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Finding the Fourth Proportional to 9,787.88, 13,503.74 and 6,432.50

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Solution

The fourth proportional to 9,787.88, 13,503.74 and 6,432.50 is: 8,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.88 : 13,503.74 = 6,432.50 : x
  2. Step 2: Convert to fraction form
    9,787.88/13,503.74 = 6,432.50/x
  3. Step 3: Cross multiply
    9,787.88x = 13,503.74 × 6,432.50
  4. Step 4: Simplify right side
    9,787.88x = 86,862,807.55
  5. Step 5: Solve for x
    x = 86,862,807.55/9,787.88
  6. Step 6: Final answer
    x = 8,874.53

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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.