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Finding the Fourth Proportional to 6,519.42, 9,773.28 and 2,358.48

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Solution

The fourth proportional to 6,519.42, 9,773.28 and 2,358.48 is: 3,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.42 : 9,773.28 = 2,358.48 : x
  2. Step 2: Convert to fraction form
    6,519.42/9,773.28 = 2,358.48/x
  3. Step 3: Cross multiply
    6,519.42x = 9,773.28 × 2,358.48
  4. Step 4: Simplify right side
    6,519.42x = 23,050,085.41
  5. Step 5: Solve for x
    x = 23,050,085.41/6,519.42
  6. Step 6: Final answer
    x = 3,535.60

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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.