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Finding the Fourth Proportional to 9,380.80, 12,956.52 and 7,498.90

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Solution

The fourth proportional to 9,380.80, 12,956.52 and 7,498.90 is: 10,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.80 : 12,956.52 = 7,498.90 : x
  2. Step 2: Convert to fraction form
    9,380.80/12,956.52 = 7,498.90/x
  3. Step 3: Cross multiply
    9,380.80x = 12,956.52 × 7,498.90
  4. Step 4: Simplify right side
    9,380.80x = 97,159,647.83
  5. Step 5: Solve for x
    x = 97,159,647.83/9,380.80
  6. Step 6: Final answer
    x = 10,357.29

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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.