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Finding the Fourth Proportional to 6,478.02, 9,716.99 and 2,585.14

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Solution

The fourth proportional to 6,478.02, 9,716.99 and 2,585.14 is: 3,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.02 : 9,716.99 = 2,585.14 : x
  2. Step 2: Convert to fraction form
    6,478.02/9,716.99 = 2,585.14/x
  3. Step 3: Cross multiply
    6,478.02x = 9,716.99 × 2,585.14
  4. Step 4: Simplify right side
    6,478.02x = 25,119,779.53
  5. Step 5: Solve for x
    x = 25,119,779.53/6,478.02
  6. Step 6: Final answer
    x = 3,877.69

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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.