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Finding the Fourth Proportional to 9,575.10, 14,375.07 and 7,385.40

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Solution

The fourth proportional to 9,575.10, 14,375.07 and 7,385.40 is: 11,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.10 : 14,375.07 = 7,385.40 : x
  2. Step 2: Convert to fraction form
    9,575.10/14,375.07 = 7,385.40/x
  3. Step 3: Cross multiply
    9,575.10x = 14,375.07 × 7,385.40
  4. Step 4: Simplify right side
    9,575.10x = 106,165,641.98
  5. Step 5: Solve for x
    x = 106,165,641.98/9,575.10
  6. Step 6: Final answer
    x = 11,087.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.