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Finding the Fourth Proportional to 10,308.72, 14,219.64 and 9,048.78

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Solution

The fourth proportional to 10,308.72, 14,219.64 and 9,048.78 is: 12,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.72 : 14,219.64 = 9,048.78 : x
  2. Step 2: Convert to fraction form
    10,308.72/14,219.64 = 9,048.78/x
  3. Step 3: Cross multiply
    10,308.72x = 14,219.64 × 9,048.78
  4. Step 4: Simplify right side
    10,308.72x = 128,670,394.04
  5. Step 5: Solve for x
    x = 128,670,394.04/10,308.72
  6. Step 6: Final answer
    x = 12,481.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.