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Finding the Fourth Proportional to 9,347.60, 13,934.02 and 9,205.04

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Solution

The fourth proportional to 9,347.60, 13,934.02 and 9,205.04 is: 13,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.60 : 13,934.02 = 9,205.04 : x
  2. Step 2: Convert to fraction form
    9,347.60/13,934.02 = 9,205.04/x
  3. Step 3: Cross multiply
    9,347.60x = 13,934.02 × 9,205.04
  4. Step 4: Simplify right side
    9,347.60x = 128,263,211.46
  5. Step 5: Solve for x
    x = 128,263,211.46/9,347.60
  6. Step 6: Final answer
    x = 13,721.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.