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Finding the Fourth Proportional to 9,024.98, 12,453.91 and 4,991.71

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Solution

The fourth proportional to 9,024.98, 12,453.91 and 4,991.71 is: 6,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.98 : 12,453.91 = 4,991.71 : x
  2. Step 2: Convert to fraction form
    9,024.98/12,453.91 = 4,991.71/x
  3. Step 3: Cross multiply
    9,024.98x = 12,453.91 × 4,991.71
  4. Step 4: Simplify right side
    9,024.98x = 62,166,227.26
  5. Step 5: Solve for x
    x = 62,166,227.26/9,024.98
  6. Step 6: Final answer
    x = 6,888.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.