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Finding the Fourth Proportional to 9,311.06, 12,849.30 and 5,062.16

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Solution

The fourth proportional to 9,311.06, 12,849.30 and 5,062.16 is: 6,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.06 : 12,849.30 = 5,062.16 : x
  2. Step 2: Convert to fraction form
    9,311.06/12,849.30 = 5,062.16/x
  3. Step 3: Cross multiply
    9,311.06x = 12,849.30 × 5,062.16
  4. Step 4: Simplify right side
    9,311.06x = 65,045,212.49
  5. Step 5: Solve for x
    x = 65,045,212.49/9,311.06
  6. Step 6: Final answer
    x = 6,985.80

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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.