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Finding the Fourth Proportional to 9,477.84, 14,217.12 and 2,552.52

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Solution

The fourth proportional to 9,477.84, 14,217.12 and 2,552.52 is: 3,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.84 : 14,217.12 = 2,552.52 : x
  2. Step 2: Convert to fraction form
    9,477.84/14,217.12 = 2,552.52/x
  3. Step 3: Cross multiply
    9,477.84x = 14,217.12 × 2,552.52
  4. Step 4: Simplify right side
    9,477.84x = 36,289,483.14
  5. Step 5: Solve for x
    x = 36,289,483.14/9,477.84
  6. Step 6: Final answer
    x = 3,828.88

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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.