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Finding the Fourth Proportional to 6,275.92, 9,407.76 and 2,988.14

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Solution

The fourth proportional to 6,275.92, 9,407.76 and 2,988.14 is: 4,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.92 : 9,407.76 = 2,988.14 : x
  2. Step 2: Convert to fraction form
    6,275.92/9,407.76 = 2,988.14/x
  3. Step 3: Cross multiply
    6,275.92x = 9,407.76 × 2,988.14
  4. Step 4: Simplify right side
    6,275.92x = 28,111,703.97
  5. Step 5: Solve for x
    x = 28,111,703.97/6,275.92
  6. Step 6: Final answer
    x = 4,479.30

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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.