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Finding the Fourth Proportional to 6,312.12, 9,470.15 and 2,616.09

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Solution

The fourth proportional to 6,312.12, 9,470.15 and 2,616.09 is: 3,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.12 : 9,470.15 = 2,616.09 : x
  2. Step 2: Convert to fraction form
    6,312.12/9,470.15 = 2,616.09/x
  3. Step 3: Cross multiply
    6,312.12x = 9,470.15 × 2,616.09
  4. Step 4: Simplify right side
    6,312.12x = 24,774,751.63
  5. Step 5: Solve for x
    x = 24,774,751.63/6,312.12
  6. Step 6: Final answer
    x = 3,924.95

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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.