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Finding the Fourth Proportional to 9,905.52, 14,866.48 and 4,976.56

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Solution

The fourth proportional to 9,905.52, 14,866.48 and 4,976.56 is: 7,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.52 : 14,866.48 = 4,976.56 : x
  2. Step 2: Convert to fraction form
    9,905.52/14,866.48 = 4,976.56/x
  3. Step 3: Cross multiply
    9,905.52x = 14,866.48 × 4,976.56
  4. Step 4: Simplify right side
    9,905.52x = 73,983,929.71
  5. Step 5: Solve for x
    x = 73,983,929.71/9,905.52
  6. Step 6: Final answer
    x = 7,468.96

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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.