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Finding the Fourth Proportional to 9,248.82, 13,873.80 and 3,409.50

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Solution

The fourth proportional to 9,248.82, 13,873.80 and 3,409.50 is: 5,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.82 : 13,873.80 = 3,409.50 : x
  2. Step 2: Convert to fraction form
    9,248.82/13,873.80 = 3,409.50/x
  3. Step 3: Cross multiply
    9,248.82x = 13,873.80 × 3,409.50
  4. Step 4: Simplify right side
    9,248.82x = 47,302,721.10
  5. Step 5: Solve for x
    x = 47,302,721.10/9,248.82
  6. Step 6: Final answer
    x = 5,114.46

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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.