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Finding the Fourth Proportional to 9,301.77, 12,832.80 and 5,320.76

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Solution

The fourth proportional to 9,301.77, 12,832.80 and 5,320.76 is: 7,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.77 : 12,832.80 = 5,320.76 : x
  2. Step 2: Convert to fraction form
    9,301.77/12,832.80 = 5,320.76/x
  3. Step 3: Cross multiply
    9,301.77x = 12,832.80 × 5,320.76
  4. Step 4: Simplify right side
    9,301.77x = 68,280,164.81
  5. Step 5: Solve for x
    x = 68,280,164.81/9,301.77
  6. Step 6: Final answer
    x = 7,340.56

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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.