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Finding the Fourth Proportional to 9,343.60, 12,894.04 and 5,151.80

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Solution

The fourth proportional to 9,343.60, 12,894.04 and 5,151.80 is: 7,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.60 : 12,894.04 = 5,151.80 : x
  2. Step 2: Convert to fraction form
    9,343.60/12,894.04 = 5,151.80/x
  3. Step 3: Cross multiply
    9,343.60x = 12,894.04 × 5,151.80
  4. Step 4: Simplify right side
    9,343.60x = 66,427,515.27
  5. Step 5: Solve for x
    x = 66,427,515.27/9,343.60
  6. Step 6: Final answer
    x = 7,109.41

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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.