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Finding the Fourth Proportional to 9,525.80, 13,146.08 and 5,748.91

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Solution

The fourth proportional to 9,525.80, 13,146.08 and 5,748.91 is: 7,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.80 : 13,146.08 = 5,748.91 : x
  2. Step 2: Convert to fraction form
    9,525.80/13,146.08 = 5,748.91/x
  3. Step 3: Cross multiply
    9,525.80x = 13,146.08 × 5,748.91
  4. Step 4: Simplify right side
    9,525.80x = 75,575,565.04
  5. Step 5: Solve for x
    x = 75,575,565.04/9,525.80
  6. Step 6: Final answer
    x = 7,933.78

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