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Finding the Fourth Proportional to 9,248.96, 13,871.68 and 3,009

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Solution

The fourth proportional to 9,248.96, 13,871.68 and 3,009 is: 4,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.96 : 13,871.68 = 3,009 : x
  2. Step 2: Convert to fraction form
    9,248.96/13,871.68 = 3,009/x
  3. Step 3: Cross multiply
    9,248.96x = 13,871.68 × 3,009
  4. Step 4: Simplify right side
    9,248.96x = 41,739,885.12
  5. Step 5: Solve for x
    x = 41,739,885.12/9,248.96
  6. Step 6: Final answer
    x = 4,512.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.