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Finding the Fourth Proportional to 6,275.17, 9,406.64 and 2,987.38

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Solution

The fourth proportional to 6,275.17, 9,406.64 and 2,987.38 is: 4,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.17 : 9,406.64 = 2,987.38 : x
  2. Step 2: Convert to fraction form
    6,275.17/9,406.64 = 2,987.38/x
  3. Step 3: Cross multiply
    6,275.17x = 9,406.64 × 2,987.38
  4. Step 4: Simplify right side
    6,275.17x = 28,101,193.27
  5. Step 5: Solve for x
    x = 28,101,193.27/6,275.17
  6. Step 6: Final answer
    x = 4,478.16

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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.