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Finding the Fourth Proportional to 9,152.76, 13,737.78 and 4,225.80

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Solution

The fourth proportional to 9,152.76, 13,737.78 and 4,225.80 is: 6,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.76 : 13,737.78 = 4,225.80 : x
  2. Step 2: Convert to fraction form
    9,152.76/13,737.78 = 4,225.80/x
  3. Step 3: Cross multiply
    9,152.76x = 13,737.78 × 4,225.80
  4. Step 4: Simplify right side
    9,152.76x = 58,053,110.72
  5. Step 5: Solve for x
    x = 58,053,110.72/9,152.76
  6. Step 6: Final answer
    x = 6,342.69

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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.