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Finding the Fourth Proportional to 9,833.43, 13,570.15 and 5,357.17

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Solution

The fourth proportional to 9,833.43, 13,570.15 and 5,357.17 is: 7,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.43 : 13,570.15 = 5,357.17 : x
  2. Step 2: Convert to fraction form
    9,833.43/13,570.15 = 5,357.17/x
  3. Step 3: Cross multiply
    9,833.43x = 13,570.15 × 5,357.17
  4. Step 4: Simplify right side
    9,833.43x = 72,697,532.62
  5. Step 5: Solve for x
    x = 72,697,532.62/9,833.43
  6. Step 6: Final answer
    x = 7,392.90

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