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Finding the Fourth Proportional to 9,247.92, 12,762.33 and 5,056.17

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Solution

The fourth proportional to 9,247.92, 12,762.33 and 5,056.17 is: 6,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.92 : 12,762.33 = 5,056.17 : x
  2. Step 2: Convert to fraction form
    9,247.92/12,762.33 = 5,056.17/x
  3. Step 3: Cross multiply
    9,247.92x = 12,762.33 × 5,056.17
  4. Step 4: Simplify right side
    9,247.92x = 64,528,557.71
  5. Step 5: Solve for x
    x = 64,528,557.71/9,247.92
  6. Step 6: Final answer
    x = 6,977.63

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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.