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Finding the Fourth Proportional to 9,096.77, 12,557.04 and 6,121.08

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Solution

The fourth proportional to 9,096.77, 12,557.04 and 6,121.08 is: 8,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.77 : 12,557.04 = 6,121.08 : x
  2. Step 2: Convert to fraction form
    9,096.77/12,557.04 = 6,121.08/x
  3. Step 3: Cross multiply
    9,096.77x = 12,557.04 × 6,121.08
  4. Step 4: Simplify right side
    9,096.77x = 76,862,646.40
  5. Step 5: Solve for x
    x = 76,862,646.40/9,096.77
  6. Step 6: Final answer
    x = 8,449.45

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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.