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Finding the Fourth Proportional to 9,389.60, 12,953.76 and 5,857.28

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Solution

The fourth proportional to 9,389.60, 12,953.76 and 5,857.28 is: 8,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.60 : 12,953.76 = 5,857.28 : x
  2. Step 2: Convert to fraction form
    9,389.60/12,953.76 = 5,857.28/x
  3. Step 3: Cross multiply
    9,389.60x = 12,953.76 × 5,857.28
  4. Step 4: Simplify right side
    9,389.60x = 75,873,799.37
  5. Step 5: Solve for x
    x = 75,873,799.37/9,389.60
  6. Step 6: Final answer
    x = 8,080.62

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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.