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Finding the Fourth Proportional to 7,035.70, 9,700.48 and 5,145.78

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Solution

The fourth proportional to 7,035.70, 9,700.48 and 5,145.78 is: 7,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.70 : 9,700.48 = 5,145.78 : x
  2. Step 2: Convert to fraction form
    7,035.70/9,700.48 = 5,145.78/x
  3. Step 3: Cross multiply
    7,035.70x = 9,700.48 × 5,145.78
  4. Step 4: Simplify right side
    7,035.70x = 49,916,535.97
  5. Step 5: Solve for x
    x = 49,916,535.97/7,035.70
  6. Step 6: Final answer
    x = 7,094.75

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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.