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Finding the Fourth Proportional to 10,096.98, 15,145.50 and 6,194.40

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Solution

The fourth proportional to 10,096.98, 15,145.50 and 6,194.40 is: 9,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.98 : 15,145.50 = 6,194.40 : x
  2. Step 2: Convert to fraction form
    10,096.98/15,145.50 = 6,194.40/x
  3. Step 3: Cross multiply
    10,096.98x = 15,145.50 × 6,194.40
  4. Step 4: Simplify right side
    10,096.98x = 93,817,285.20
  5. Step 5: Solve for x
    x = 93,817,285.20/10,096.98
  6. Step 6: Final answer
    x = 9,291.62

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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.