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Finding the Fourth Proportional to 9,029.65, 13,549.65 and 4,869.64

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Solution

The fourth proportional to 9,029.65, 13,549.65 and 4,869.64 is: 7,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.65 : 13,549.65 = 4,869.64 : x
  2. Step 2: Convert to fraction form
    9,029.65/13,549.65 = 4,869.64/x
  3. Step 3: Cross multiply
    9,029.65x = 13,549.65 × 4,869.64
  4. Step 4: Simplify right side
    9,029.65x = 65,981,917.63
  5. Step 5: Solve for x
    x = 65,981,917.63/9,029.65
  6. Step 6: Final answer
    x = 7,307.25

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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.