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Finding the Fourth Proportional to 10,306.74, 15,459.93 and 9,504.12

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Solution

The fourth proportional to 10,306.74, 15,459.93 and 9,504.12 is: 14,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.74 : 15,459.93 = 9,504.12 : x
  2. Step 2: Convert to fraction form
    10,306.74/15,459.93 = 9,504.12/x
  3. Step 3: Cross multiply
    10,306.74x = 15,459.93 × 9,504.12
  4. Step 4: Simplify right side
    10,306.74x = 146,933,029.91
  5. Step 5: Solve for x
    x = 146,933,029.91/10,306.74
  6. Step 6: Final answer
    x = 14,256.01

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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.