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Finding the Fourth Proportional to 6,965.48, 9,601.43 and 5,280.14

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Solution

The fourth proportional to 6,965.48, 9,601.43 and 5,280.14 is: 7,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.48 : 9,601.43 = 5,280.14 : x
  2. Step 2: Convert to fraction form
    6,965.48/9,601.43 = 5,280.14/x
  3. Step 3: Cross multiply
    6,965.48x = 9,601.43 × 5,280.14
  4. Step 4: Simplify right side
    6,965.48x = 50,696,820.19
  5. Step 5: Solve for x
    x = 50,696,820.19/6,965.48
  6. Step 6: Final answer
    x = 7,278.30

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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.