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Finding the Fourth Proportional to 9,085.86, 12,526.92 and 6,096.96

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Solution

The fourth proportional to 9,085.86, 12,526.92 and 6,096.96 is: 8,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.86 : 12,526.92 = 6,096.96 : x
  2. Step 2: Convert to fraction form
    9,085.86/12,526.92 = 6,096.96/x
  3. Step 3: Cross multiply
    9,085.86x = 12,526.92 × 6,096.96
  4. Step 4: Simplify right side
    9,085.86x = 76,376,130.16
  5. Step 5: Solve for x
    x = 76,376,130.16/9,085.86
  6. Step 6: Final answer
    x = 8,406.04

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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.