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Finding the Fourth Proportional to 9,729.70, 14,599.13 and 5,047.18

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Solution

The fourth proportional to 9,729.70, 14,599.13 and 5,047.18 is: 7,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.70 : 14,599.13 = 5,047.18 : x
  2. Step 2: Convert to fraction form
    9,729.70/14,599.13 = 5,047.18/x
  3. Step 3: Cross multiply
    9,729.70x = 14,599.13 × 5,047.18
  4. Step 4: Simplify right side
    9,729.70x = 73,684,436.95
  5. Step 5: Solve for x
    x = 73,684,436.95/9,729.70
  6. Step 6: Final answer
    x = 7,573.15

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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.