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Finding the Fourth Proportional to 9,316.89, 12,857.13 and 5,125.14

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Solution

The fourth proportional to 9,316.89, 12,857.13 and 5,125.14 is: 7,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.89 : 12,857.13 = 5,125.14 : x
  2. Step 2: Convert to fraction form
    9,316.89/12,857.13 = 5,125.14/x
  3. Step 3: Cross multiply
    9,316.89x = 12,857.13 × 5,125.14
  4. Step 4: Simplify right side
    9,316.89x = 65,894,591.25
  5. Step 5: Solve for x
    x = 65,894,591.25/9,316.89
  6. Step 6: Final answer
    x = 7,072.60

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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.