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Finding the Fourth Proportional to 9,642.75, 13,385.02 and 9,409.47

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Solution

The fourth proportional to 9,642.75, 13,385.02 and 9,409.47 is: 13,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.75 : 13,385.02 = 9,409.47 : x
  2. Step 2: Convert to fraction form
    9,642.75/13,385.02 = 9,409.47/x
  3. Step 3: Cross multiply
    9,642.75x = 13,385.02 × 9,409.47
  4. Step 4: Simplify right side
    9,642.75x = 125,945,914.53
  5. Step 5: Solve for x
    x = 125,945,914.53/9,642.75
  6. Step 6: Final answer
    x = 13,061.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.