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Finding the Fourth Proportional to 6,515.64, 9,773.93 and 2,298.38

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Solution

The fourth proportional to 6,515.64, 9,773.93 and 2,298.38 is: 3,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.64 : 9,773.93 = 2,298.38 : x
  2. Step 2: Convert to fraction form
    6,515.64/9,773.93 = 2,298.38/x
  3. Step 3: Cross multiply
    6,515.64x = 9,773.93 × 2,298.38
  4. Step 4: Simplify right side
    6,515.64x = 22,464,162.11
  5. Step 5: Solve for x
    x = 22,464,162.11/6,515.64
  6. Step 6: Final answer
    x = 3,447.73

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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.