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Finding the Fourth Proportional to 8,966.88, 13,443.12 and 4,034.16

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Solution

The fourth proportional to 8,966.88, 13,443.12 and 4,034.16 is: 6,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.88 : 13,443.12 = 4,034.16 : x
  2. Step 2: Convert to fraction form
    8,966.88/13,443.12 = 4,034.16/x
  3. Step 3: Cross multiply
    8,966.88x = 13,443.12 × 4,034.16
  4. Step 4: Simplify right side
    8,966.88x = 54,231,696.98
  5. Step 5: Solve for x
    x = 54,231,696.98/8,966.88
  6. Step 6: Final answer
    x = 6,048.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.