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Finding the Fourth Proportional to 6,024.40, 9,024.45 and 5,046.98

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Solution

The fourth proportional to 6,024.40, 9,024.45 and 5,046.98 is: 7,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.40 : 9,024.45 = 5,046.98 : x
  2. Step 2: Convert to fraction form
    6,024.40/9,024.45 = 5,046.98/x
  3. Step 3: Cross multiply
    6,024.40x = 9,024.45 × 5,046.98
  4. Step 4: Simplify right side
    6,024.40x = 45,546,218.66
  5. Step 5: Solve for x
    x = 45,546,218.66/6,024.40
  6. Step 6: Final answer
    x = 7,560.29

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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.