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Finding the Fourth Proportional to 6,357.76, 9,536.58 and 2,459.44

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Solution

The fourth proportional to 6,357.76, 9,536.58 and 2,459.44 is: 3,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.76 : 9,536.58 = 2,459.44 : x
  2. Step 2: Convert to fraction form
    6,357.76/9,536.58 = 2,459.44/x
  3. Step 3: Cross multiply
    6,357.76x = 9,536.58 × 2,459.44
  4. Step 4: Simplify right side
    6,357.76x = 23,454,646.32
  5. Step 5: Solve for x
    x = 23,454,646.32/6,357.76
  6. Step 6: Final answer
    x = 3,689.14

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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.