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Finding the Fourth Proportional to 6,084.51, 9,142.14 and 5,838.47

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Solution

The fourth proportional to 6,084.51, 9,142.14 and 5,838.47 is: 8,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.51 : 9,142.14 = 5,838.47 : x
  2. Step 2: Convert to fraction form
    6,084.51/9,142.14 = 5,838.47/x
  3. Step 3: Cross multiply
    6,084.51x = 9,142.14 × 5,838.47
  4. Step 4: Simplify right side
    6,084.51x = 53,376,110.13
  5. Step 5: Solve for x
    x = 53,376,110.13/6,084.51
  6. Step 6: Final answer
    x = 8,772.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.