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Finding the Fourth Proportional to 9,838.83, 13,576.56 and 5,859.17

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Solution

The fourth proportional to 9,838.83, 13,576.56 and 5,859.17 is: 8,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.83 : 13,576.56 = 5,859.17 : x
  2. Step 2: Convert to fraction form
    9,838.83/13,576.56 = 5,859.17/x
  3. Step 3: Cross multiply
    9,838.83x = 13,576.56 × 5,859.17
  4. Step 4: Simplify right side
    9,838.83x = 79,547,373.06
  5. Step 5: Solve for x
    x = 79,547,373.06/9,838.83
  6. Step 6: Final answer
    x = 8,085.04

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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.