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Finding the Fourth Proportional to 9,729.93, 13,425.08 and 5,748.89

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Solution

The fourth proportional to 9,729.93, 13,425.08 and 5,748.89 is: 7,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.93 : 13,425.08 = 5,748.89 : x
  2. Step 2: Convert to fraction form
    9,729.93/13,425.08 = 5,748.89/x
  3. Step 3: Cross multiply
    9,729.93x = 13,425.08 × 5,748.89
  4. Step 4: Simplify right side
    9,729.93x = 77,179,212.29
  5. Step 5: Solve for x
    x = 77,179,212.29/9,729.93
  6. Step 6: Final answer
    x = 7,932.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.