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Finding the Fourth Proportional to 6,312.64, 9,486.24 and 3,854.56

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Solution

The fourth proportional to 6,312.64, 9,486.24 and 3,854.56 is: 5,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.64 : 9,486.24 = 3,854.56 : x
  2. Step 2: Convert to fraction form
    6,312.64/9,486.24 = 3,854.56/x
  3. Step 3: Cross multiply
    6,312.64x = 9,486.24 × 3,854.56
  4. Step 4: Simplify right side
    6,312.64x = 36,565,281.25
  5. Step 5: Solve for x
    x = 36,565,281.25/6,312.64
  6. Step 6: Final answer
    x = 5,792.39

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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.