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Finding the Fourth Proportional to 6,297.16, 9,437.52 and 2,595.16

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Solution

The fourth proportional to 6,297.16, 9,437.52 and 2,595.16 is: 3,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.16 : 9,437.52 = 2,595.16 : x
  2. Step 2: Convert to fraction form
    6,297.16/9,437.52 = 2,595.16/x
  3. Step 3: Cross multiply
    6,297.16x = 9,437.52 × 2,595.16
  4. Step 4: Simplify right side
    6,297.16x = 24,491,874.40
  5. Step 5: Solve for x
    x = 24,491,874.40/6,297.16
  6. Step 6: Final answer
    x = 3,889.35

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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.