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Finding the Fourth Proportional to 9,650.53, 13,318.65 and 6,963.95

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Solution

The fourth proportional to 9,650.53, 13,318.65 and 6,963.95 is: 9,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.53 : 13,318.65 = 6,963.95 : x
  2. Step 2: Convert to fraction form
    9,650.53/13,318.65 = 6,963.95/x
  3. Step 3: Cross multiply
    9,650.53x = 13,318.65 × 6,963.95
  4. Step 4: Simplify right side
    9,650.53x = 92,750,412.67
  5. Step 5: Solve for x
    x = 92,750,412.67/9,650.53
  6. Step 6: Final answer
    x = 9,610.92

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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.