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Finding the Fourth Proportional to 9,012.64, 12,437.28 and 5,033.68

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Solution

The fourth proportional to 9,012.64, 12,437.28 and 5,033.68 is: 6,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.64 : 12,437.28 = 5,033.68 : x
  2. Step 2: Convert to fraction form
    9,012.64/12,437.28 = 5,033.68/x
  3. Step 3: Cross multiply
    9,012.64x = 12,437.28 × 5,033.68
  4. Step 4: Simplify right side
    9,012.64x = 62,605,287.59
  5. Step 5: Solve for x
    x = 62,605,287.59/9,012.64
  6. Step 6: Final answer
    x = 6,946.39

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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.