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Finding the Fourth Proportional to 9,569.16, 14,283.49 and 8,864.64

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Solution

The fourth proportional to 9,569.16, 14,283.49 and 8,864.64 is: 13,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.16 : 14,283.49 = 8,864.64 : x
  2. Step 2: Convert to fraction form
    9,569.16/14,283.49 = 8,864.64/x
  3. Step 3: Cross multiply
    9,569.16x = 14,283.49 × 8,864.64
  4. Step 4: Simplify right side
    9,569.16x = 126,617,974.63
  5. Step 5: Solve for x
    x = 126,617,974.63/9,569.16
  6. Step 6: Final answer
    x = 13,231.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.