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Finding the Fourth Proportional to 8,772.40, 12,085.32 and 6,114.96

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Solution

The fourth proportional to 8,772.40, 12,085.32 and 6,114.96 is: 8,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.40 : 12,085.32 = 6,114.96 : x
  2. Step 2: Convert to fraction form
    8,772.40/12,085.32 = 6,114.96/x
  3. Step 3: Cross multiply
    8,772.40x = 12,085.32 × 6,114.96
  4. Step 4: Simplify right side
    8,772.40x = 73,901,248.39
  5. Step 5: Solve for x
    x = 73,901,248.39/8,772.40
  6. Step 6: Final answer
    x = 8,424.29

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Why These Related Problems?

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