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Finding the Fourth Proportional to 9,144.88, 13,718.10 and 3,597.88

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Solution

The fourth proportional to 9,144.88, 13,718.10 and 3,597.88 is: 5,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.88 : 13,718.10 = 3,597.88 : x
  2. Step 2: Convert to fraction form
    9,144.88/13,718.10 = 3,597.88/x
  3. Step 3: Cross multiply
    9,144.88x = 13,718.10 × 3,597.88
  4. Step 4: Simplify right side
    9,144.88x = 49,356,077.63
  5. Step 5: Solve for x
    x = 49,356,077.63/9,144.88
  6. Step 6: Final answer
    x = 5,397.13

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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.