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Finding the Fourth Proportional to 9,209.58, 13,802.80 and 3,938.40

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Solution

The fourth proportional to 9,209.58, 13,802.80 and 3,938.40 is: 5,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.58 : 13,802.80 = 3,938.40 : x
  2. Step 2: Convert to fraction form
    9,209.58/13,802.80 = 3,938.40/x
  3. Step 3: Cross multiply
    9,209.58x = 13,802.80 × 3,938.40
  4. Step 4: Simplify right side
    9,209.58x = 54,360,947.52
  5. Step 5: Solve for x
    x = 54,360,947.52/9,209.58
  6. Step 6: Final answer
    x = 5,902.65

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1.5x scale

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.