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Finding the Fourth Proportional to 9,707.38, 13,378.42 and 7,050.18

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Solution

The fourth proportional to 9,707.38, 13,378.42 and 7,050.18 is: 9,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.38 : 13,378.42 = 7,050.18 : x
  2. Step 2: Convert to fraction form
    9,707.38/13,378.42 = 7,050.18/x
  3. Step 3: Cross multiply
    9,707.38x = 13,378.42 × 7,050.18
  4. Step 4: Simplify right side
    9,707.38x = 94,320,166.97
  5. Step 5: Solve for x
    x = 94,320,166.97/9,707.38
  6. Step 6: Final answer
    x = 9,716.34

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Why These Related Problems?

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