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Finding the Fourth Proportional to 9,838.39, 13,575.39 and 5,859.40

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Solution

The fourth proportional to 9,838.39, 13,575.39 and 5,859.40 is: 8,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.39 : 13,575.39 = 5,859.40 : x
  2. Step 2: Convert to fraction form
    9,838.39/13,575.39 = 5,859.40/x
  3. Step 3: Cross multiply
    9,838.39x = 13,575.39 × 5,859.40
  4. Step 4: Simplify right side
    9,838.39x = 79,543,640.17
  5. Step 5: Solve for x
    x = 79,543,640.17/9,838.39
  6. Step 6: Final answer
    x = 8,085.03

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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.