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Finding the Fourth Proportional to 9,124.16, 12,588.96 and 5,396.48

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Solution

The fourth proportional to 9,124.16, 12,588.96 and 5,396.48 is: 7,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.16 : 12,588.96 = 5,396.48 : x
  2. Step 2: Convert to fraction form
    9,124.16/12,588.96 = 5,396.48/x
  3. Step 3: Cross multiply
    9,124.16x = 12,588.96 × 5,396.48
  4. Step 4: Simplify right side
    9,124.16x = 67,936,070.86
  5. Step 5: Solve for x
    x = 67,936,070.86/9,124.16
  6. Step 6: Final answer
    x = 7,445.73

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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.