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Finding the Fourth Proportional to 6,002.16, 9,006.47 and 2,924.16

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Solution

The fourth proportional to 6,002.16, 9,006.47 and 2,924.16 is: 4,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.16 : 9,006.47 = 2,924.16 : x
  2. Step 2: Convert to fraction form
    6,002.16/9,006.47 = 2,924.16/x
  3. Step 3: Cross multiply
    6,002.16x = 9,006.47 × 2,924.16
  4. Step 4: Simplify right side
    6,002.16x = 26,336,366.63
  5. Step 5: Solve for x
    x = 26,336,366.63/6,002.16
  6. Step 6: Final answer
    x = 4,387.81

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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.