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Finding the Fourth Proportional to 6,024.34, 9,035.76 and 1,642.24

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Solution

The fourth proportional to 6,024.34, 9,035.76 and 1,642.24 is: 2,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.34 : 9,035.76 = 1,642.24 : x
  2. Step 2: Convert to fraction form
    6,024.34/9,035.76 = 1,642.24/x
  3. Step 3: Cross multiply
    6,024.34x = 9,035.76 × 1,642.24
  4. Step 4: Simplify right side
    6,024.34x = 14,838,841.32
  5. Step 5: Solve for x
    x = 14,838,841.32/6,024.34
  6. Step 6: Final answer
    x = 2,463.15

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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.