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Finding the Fourth Proportional to 9,343.76, 12,894.66 and 5,152.28

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Solution

The fourth proportional to 9,343.76, 12,894.66 and 5,152.28 is: 7,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.76 : 12,894.66 = 5,152.28 : x
  2. Step 2: Convert to fraction form
    9,343.76/12,894.66 = 5,152.28/x
  3. Step 3: Cross multiply
    9,343.76x = 12,894.66 × 5,152.28
  4. Step 4: Simplify right side
    9,343.76x = 66,436,898.82
  5. Step 5: Solve for x
    x = 66,436,898.82/9,343.76
  6. Step 6: Final answer
    x = 7,110.30

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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.