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Finding the Fourth Proportional to 9,341.92, 12,886.32 and 6,559.84

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Solution

The fourth proportional to 9,341.92, 12,886.32 and 6,559.84 is: 9,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.92 : 12,886.32 = 6,559.84 : x
  2. Step 2: Convert to fraction form
    9,341.92/12,886.32 = 6,559.84/x
  3. Step 3: Cross multiply
    9,341.92x = 12,886.32 × 6,559.84
  4. Step 4: Simplify right side
    9,341.92x = 84,532,197.39
  5. Step 5: Solve for x
    x = 84,532,197.39/9,341.92
  6. Step 6: Final answer
    x = 9,048.70

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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.