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Finding the Fourth Proportional to 9,346.97, 13,987.55 and 5,838.63

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Solution

The fourth proportional to 9,346.97, 13,987.55 and 5,838.63 is: 8,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.97 : 13,987.55 = 5,838.63 : x
  2. Step 2: Convert to fraction form
    9,346.97/13,987.55 = 5,838.63/x
  3. Step 3: Cross multiply
    9,346.97x = 13,987.55 × 5,838.63
  4. Step 4: Simplify right side
    9,346.97x = 81,668,126.77
  5. Step 5: Solve for x
    x = 81,668,126.77/9,346.97
  6. Step 6: Final answer
    x = 8,737.39

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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.