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Finding the Fourth Proportional to 6,987.12, 9,641.07 and 4,156.17

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Solution

The fourth proportional to 6,987.12, 9,641.07 and 4,156.17 is: 5,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.12 : 9,641.07 = 4,156.17 : x
  2. Step 2: Convert to fraction form
    6,987.12/9,641.07 = 4,156.17/x
  3. Step 3: Cross multiply
    6,987.12x = 9,641.07 × 4,156.17
  4. Step 4: Simplify right side
    6,987.12x = 40,069,925.90
  5. Step 5: Solve for x
    x = 40,069,925.90/6,987.12
  6. Step 6: Final answer
    x = 5,734.83

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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.