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Finding the Fourth Proportional to 9,574.68, 13,210.56 and 5,799.96

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Solution

The fourth proportional to 9,574.68, 13,210.56 and 5,799.96 is: 8,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.68 : 13,210.56 = 5,799.96 : x
  2. Step 2: Convert to fraction form
    9,574.68/13,210.56 = 5,799.96/x
  3. Step 3: Cross multiply
    9,574.68x = 13,210.56 × 5,799.96
  4. Step 4: Simplify right side
    9,574.68x = 76,620,719.58
  5. Step 5: Solve for x
    x = 76,620,719.58/9,574.68
  6. Step 6: Final answer
    x = 8,002.43

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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.