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Finding the Fourth Proportional to 9,221.61, 12,725.34 and 5,188.53

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Solution

The fourth proportional to 9,221.61, 12,725.34 and 5,188.53 is: 7,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.61 : 12,725.34 = 5,188.53 : x
  2. Step 2: Convert to fraction form
    9,221.61/12,725.34 = 5,188.53/x
  3. Step 3: Cross multiply
    9,221.61x = 12,725.34 × 5,188.53
  4. Step 4: Simplify right side
    9,221.61x = 66,025,808.35
  5. Step 5: Solve for x
    x = 66,025,808.35/9,221.61
  6. Step 6: Final answer
    x = 7,159.90

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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.