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Finding the Fourth Proportional to 9,247.89, 12,762.08 and 5,056.14

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Solution

The fourth proportional to 9,247.89, 12,762.08 and 5,056.14 is: 6,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.89 : 12,762.08 = 5,056.14 : x
  2. Step 2: Convert to fraction form
    9,247.89/12,762.08 = 5,056.14/x
  3. Step 3: Cross multiply
    9,247.89x = 12,762.08 × 5,056.14
  4. Step 4: Simplify right side
    9,247.89x = 64,526,837.89
  5. Step 5: Solve for x
    x = 64,526,837.89/9,247.89
  6. Step 6: Final answer
    x = 6,977.47

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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.