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Finding the Fourth Proportional to 8,096.04, 12,123.40 and 6,454.98

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Solution

The fourth proportional to 8,096.04, 12,123.40 and 6,454.98 is: 9,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.04 : 12,123.40 = 6,454.98 : x
  2. Step 2: Convert to fraction form
    8,096.04/12,123.40 = 6,454.98/x
  3. Step 3: Cross multiply
    8,096.04x = 12,123.40 × 6,454.98
  4. Step 4: Simplify right side
    8,096.04x = 78,256,304.53
  5. Step 5: Solve for x
    x = 78,256,304.53/8,096.04
  6. Step 6: Final answer
    x = 9,666.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.