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Finding the Fourth Proportional to 9,336.24, 12,886.68 and 5,797.68

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Solution

The fourth proportional to 9,336.24, 12,886.68 and 5,797.68 is: 8,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.24 : 12,886.68 = 5,797.68 : x
  2. Step 2: Convert to fraction form
    9,336.24/12,886.68 = 5,797.68/x
  3. Step 3: Cross multiply
    9,336.24x = 12,886.68 × 5,797.68
  4. Step 4: Simplify right side
    9,336.24x = 74,712,846.90
  5. Step 5: Solve for x
    x = 74,712,846.90/9,336.24
  6. Step 6: Final answer
    x = 8,002.46

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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.