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Finding the Fourth Proportional to 9,725.64, 14,587.09 and 5,552.11

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Solution

The fourth proportional to 9,725.64, 14,587.09 and 5,552.11 is: 8,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.64 : 14,587.09 = 5,552.11 : x
  2. Step 2: Convert to fraction form
    9,725.64/14,587.09 = 5,552.11/x
  3. Step 3: Cross multiply
    9,725.64x = 14,587.09 × 5,552.11
  4. Step 4: Simplify right side
    9,725.64x = 80,989,132.61
  5. Step 5: Solve for x
    x = 80,989,132.61/9,725.64
  6. Step 6: Final answer
    x = 8,327.39

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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.