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Finding the Fourth Proportional to 9,242.56, 13,850.74 and 7,152.84

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Solution

The fourth proportional to 9,242.56, 13,850.74 and 7,152.84 is: 10,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.56 : 13,850.74 = 7,152.84 : x
  2. Step 2: Convert to fraction form
    9,242.56/13,850.74 = 7,152.84/x
  3. Step 3: Cross multiply
    9,242.56x = 13,850.74 × 7,152.84
  4. Step 4: Simplify right side
    9,242.56x = 99,072,127.10
  5. Step 5: Solve for x
    x = 99,072,127.10/9,242.56
  6. Step 6: Final answer
    x = 10,719.12

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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.