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Finding the Fourth Proportional to 9,959.65, 14,939.48 and 2,564.12

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Solution

The fourth proportional to 9,959.65, 14,939.48 and 2,564.12 is: 3,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.65 : 14,939.48 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    9,959.65/14,939.48 = 2,564.12/x
  3. Step 3: Cross multiply
    9,959.65x = 14,939.48 × 2,564.12
  4. Step 4: Simplify right side
    9,959.65x = 38,306,663.22
  5. Step 5: Solve for x
    x = 38,306,663.22/9,959.65
  6. Step 6: Final answer
    x = 3,846.19

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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.