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Finding the Fourth Proportional to 9,472.14, 13,063.68 and 7,110.18

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Solution

The fourth proportional to 9,472.14, 13,063.68 and 7,110.18 is: 9,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.14 : 13,063.68 = 7,110.18 : x
  2. Step 2: Convert to fraction form
    9,472.14/13,063.68 = 7,110.18/x
  3. Step 3: Cross multiply
    9,472.14x = 13,063.68 × 7,110.18
  4. Step 4: Simplify right side
    9,472.14x = 92,885,116.26
  5. Step 5: Solve for x
    x = 92,885,116.26/9,472.14
  6. Step 6: Final answer
    x = 9,806.14

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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.