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Finding the Fourth Proportional to 9,520.76, 14,281.52 and 2,595.24

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Solution

The fourth proportional to 9,520.76, 14,281.52 and 2,595.24 is: 3,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.76 : 14,281.52 = 2,595.24 : x
  2. Step 2: Convert to fraction form
    9,520.76/14,281.52 = 2,595.24/x
  3. Step 3: Cross multiply
    9,520.76x = 14,281.52 × 2,595.24
  4. Step 4: Simplify right side
    9,520.76x = 37,063,971.96
  5. Step 5: Solve for x
    x = 37,063,971.96/9,520.76
  6. Step 6: Final answer
    x = 3,892.96

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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.