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Finding the Fourth Proportional to 7,155.14, 9,821.43 and 6,351.62

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Solution

The fourth proportional to 7,155.14, 9,821.43 and 6,351.62 is: 8,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.14 : 9,821.43 = 6,351.62 : x
  2. Step 2: Convert to fraction form
    7,155.14/9,821.43 = 6,351.62/x
  3. Step 3: Cross multiply
    7,155.14x = 9,821.43 × 6,351.62
  4. Step 4: Simplify right side
    7,155.14x = 62,381,959.46
  5. Step 5: Solve for x
    x = 62,381,959.46/7,155.14
  6. Step 6: Final answer
    x = 8,718.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.