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Finding the Fourth Proportional to 9,432.84, 14,145.14 and 4,749.88

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Solution

The fourth proportional to 9,432.84, 14,145.14 and 4,749.88 is: 7,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.84 : 14,145.14 = 4,749.88 : x
  2. Step 2: Convert to fraction form
    9,432.84/14,145.14 = 4,749.88/x
  3. Step 3: Cross multiply
    9,432.84x = 14,145.14 × 4,749.88
  4. Step 4: Simplify right side
    9,432.84x = 67,187,717.58
  5. Step 5: Solve for x
    x = 67,187,717.58/9,432.84
  6. Step 6: Final answer
    x = 7,122.75

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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.