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Finding the Fourth Proportional to 9,642.24, 14,463.36 and 5,024.16

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Solution

The fourth proportional to 9,642.24, 14,463.36 and 5,024.16 is: 7,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.24 : 14,463.36 = 5,024.16 : x
  2. Step 2: Convert to fraction form
    9,642.24/14,463.36 = 5,024.16/x
  3. Step 3: Cross multiply
    9,642.24x = 14,463.36 × 5,024.16
  4. Step 4: Simplify right side
    9,642.24x = 72,666,234.78
  5. Step 5: Solve for x
    x = 72,666,234.78/9,642.24
  6. Step 6: Final answer
    x = 7,536.24

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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.