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Finding the Fourth Proportional to 9,378.14, 14,024.88 and 7,157.66

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Solution

The fourth proportional to 9,378.14, 14,024.88 and 7,157.66 is: 10,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.14 : 14,024.88 = 7,157.66 : x
  2. Step 2: Convert to fraction form
    9,378.14/14,024.88 = 7,157.66/x
  3. Step 3: Cross multiply
    9,378.14x = 14,024.88 × 7,157.66
  4. Step 4: Simplify right side
    9,378.14x = 100,385,322.58
  5. Step 5: Solve for x
    x = 100,385,322.58/9,378.14
  6. Step 6: Final answer
    x = 10,704.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.