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Finding the Fourth Proportional to 9,905.60, 14,853.12 and 3,329.60

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Solution

The fourth proportional to 9,905.60, 14,853.12 and 3,329.60 is: 4,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.60 : 14,853.12 = 3,329.60 : x
  2. Step 2: Convert to fraction form
    9,905.60/14,853.12 = 3,329.60/x
  3. Step 3: Cross multiply
    9,905.60x = 14,853.12 × 3,329.60
  4. Step 4: Simplify right side
    9,905.60x = 49,454,948.35
  5. Step 5: Solve for x
    x = 49,454,948.35/9,905.60
  6. Step 6: Final answer
    x = 4,992.63

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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.