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Finding the Fourth Proportional to 9,476.14, 13,069.20 and 7,114.18

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Solution

The fourth proportional to 9,476.14, 13,069.20 and 7,114.18 is: 9,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.14 : 13,069.20 = 7,114.18 : x
  2. Step 2: Convert to fraction form
    9,476.14/13,069.20 = 7,114.18/x
  3. Step 3: Cross multiply
    9,476.14x = 13,069.20 × 7,114.18
  4. Step 4: Simplify right side
    9,476.14x = 92,976,641.26
  5. Step 5: Solve for x
    x = 92,976,641.26/9,476.14
  6. Step 6: Final answer
    x = 9,811.66

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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.