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Finding the Fourth Proportional to 6,024.57, 9,016.80 and 4,555.63

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Solution

The fourth proportional to 6,024.57, 9,016.80 and 4,555.63 is: 6,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.57 : 9,016.80 = 4,555.63 : x
  2. Step 2: Convert to fraction form
    6,024.57/9,016.80 = 4,555.63/x
  3. Step 3: Cross multiply
    6,024.57x = 9,016.80 × 4,555.63
  4. Step 4: Simplify right side
    6,024.57x = 41,077,204.58
  5. Step 5: Solve for x
    x = 41,077,204.58/6,024.57
  6. Step 6: Final answer
    x = 6,818.28

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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.