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Finding the Fourth Proportional to 6,407.17, 9,612.12 and 2,024.98

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Solution

The fourth proportional to 6,407.17, 9,612.12 and 2,024.98 is: 3,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.17 : 9,612.12 = 2,024.98 : x
  2. Step 2: Convert to fraction form
    6,407.17/9,612.12 = 2,024.98/x
  3. Step 3: Cross multiply
    6,407.17x = 9,612.12 × 2,024.98
  4. Step 4: Simplify right side
    6,407.17x = 19,464,350.76
  5. Step 5: Solve for x
    x = 19,464,350.76/6,407.17
  6. Step 6: Final answer
    x = 3,037.90

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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.