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Finding the Fourth Proportional to 9,192.92, 12,675.02 and 7,774.07

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Solution

The fourth proportional to 9,192.92, 12,675.02 and 7,774.07 is: 10,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.92 : 12,675.02 = 7,774.07 : x
  2. Step 2: Convert to fraction form
    9,192.92/12,675.02 = 7,774.07/x
  3. Step 3: Cross multiply
    9,192.92x = 12,675.02 × 7,774.07
  4. Step 4: Simplify right side
    9,192.92x = 98,536,390.49
  5. Step 5: Solve for x
    x = 98,536,390.49/9,192.92
  6. Step 6: Final answer
    x = 10,718.73

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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.