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Finding the Fourth Proportional to 9,616.31, 13,266.85 and 6,262

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Solution

The fourth proportional to 9,616.31, 13,266.85 and 6,262 is: 8,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.31 : 13,266.85 = 6,262 : x
  2. Step 2: Convert to fraction form
    9,616.31/13,266.85 = 6,262/x
  3. Step 3: Cross multiply
    9,616.31x = 13,266.85 × 6,262
  4. Step 4: Simplify right side
    9,616.31x = 83,077,014.70
  5. Step 5: Solve for x
    x = 83,077,014.70/9,616.31
  6. Step 6: Final answer
    x = 8,639.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.