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Finding the Fourth Proportional to 9,284.65, 13,830.49 and 8,781.64

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Solution

The fourth proportional to 9,284.65, 13,830.49 and 8,781.64 is: 13,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.65 : 13,830.49 = 8,781.64 : x
  2. Step 2: Convert to fraction form
    9,284.65/13,830.49 = 8,781.64/x
  3. Step 3: Cross multiply
    9,284.65x = 13,830.49 × 8,781.64
  4. Step 4: Simplify right side
    9,284.65x = 121,454,384.20
  5. Step 5: Solve for x
    x = 121,454,384.20/9,284.65
  6. Step 6: Final answer
    x = 13,081.20

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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.