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Finding the Fourth Proportional to 9,730.48, 14,595.12 and 3,882.88

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Solution

The fourth proportional to 9,730.48, 14,595.12 and 3,882.88 is: 5,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.48 : 14,595.12 = 3,882.88 : x
  2. Step 2: Convert to fraction form
    9,730.48/14,595.12 = 3,882.88/x
  3. Step 3: Cross multiply
    9,730.48x = 14,595.12 × 3,882.88
  4. Step 4: Simplify right side
    9,730.48x = 56,671,099.55
  5. Step 5: Solve for x
    x = 56,671,099.55/9,730.48
  6. Step 6: Final answer
    x = 5,824.08

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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.