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Finding the Fourth Proportional to 9,188.47, 13,787.27 and 3,641.70

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Solution

The fourth proportional to 9,188.47, 13,787.27 and 3,641.70 is: 5,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.47 : 13,787.27 = 3,641.70 : x
  2. Step 2: Convert to fraction form
    9,188.47/13,787.27 = 3,641.70/x
  3. Step 3: Cross multiply
    9,188.47x = 13,787.27 × 3,641.70
  4. Step 4: Simplify right side
    9,188.47x = 50,209,014.01
  5. Step 5: Solve for x
    x = 50,209,014.01/9,188.47
  6. Step 6: Final answer
    x = 5,464.35

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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.