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Finding the Fourth Proportional to 9,351.84, 14,041.60 and 6,251.20

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Solution

The fourth proportional to 9,351.84, 14,041.60 and 6,251.20 is: 9,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.84 : 14,041.60 = 6,251.20 : x
  2. Step 2: Convert to fraction form
    9,351.84/14,041.60 = 6,251.20/x
  3. Step 3: Cross multiply
    9,351.84x = 14,041.60 × 6,251.20
  4. Step 4: Simplify right side
    9,351.84x = 87,776,849.92
  5. Step 5: Solve for x
    x = 87,776,849.92/9,351.84
  6. Step 6: Final answer
    x = 9,386.05

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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.