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Finding the Fourth Proportional to 9,343.77, 12,894.39 and 5,152.02

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Solution

The fourth proportional to 9,343.77, 12,894.39 and 5,152.02 is: 7,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.77 : 12,894.39 = 5,152.02 : x
  2. Step 2: Convert to fraction form
    9,343.77/12,894.39 = 5,152.02/x
  3. Step 3: Cross multiply
    9,343.77x = 12,894.39 × 5,152.02
  4. Step 4: Simplify right side
    9,343.77x = 66,432,155.17
  5. Step 5: Solve for x
    x = 66,432,155.17/9,343.77
  6. Step 6: Final answer
    x = 7,109.78

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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.