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Finding the Fourth Proportional to 7,122.74, 9,829.15 and 5,001.35

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Solution

The fourth proportional to 7,122.74, 9,829.15 and 5,001.35 is: 6,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.74 : 9,829.15 = 5,001.35 : x
  2. Step 2: Convert to fraction form
    7,122.74/9,829.15 = 5,001.35/x
  3. Step 3: Cross multiply
    7,122.74x = 9,829.15 × 5,001.35
  4. Step 4: Simplify right side
    7,122.74x = 49,158,957.70
  5. Step 5: Solve for x
    x = 49,158,957.70/7,122.74
  6. Step 6: Final answer
    x = 6,901.70

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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.