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Finding the Fourth Proportional to 7,064.07, 9,748.40 and 3,877.38

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Solution

The fourth proportional to 7,064.07, 9,748.40 and 3,877.38 is: 5,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.07 : 9,748.40 = 3,877.38 : x
  2. Step 2: Convert to fraction form
    7,064.07/9,748.40 = 3,877.38/x
  3. Step 3: Cross multiply
    7,064.07x = 9,748.40 × 3,877.38
  4. Step 4: Simplify right side
    7,064.07x = 37,798,231.81
  5. Step 5: Solve for x
    x = 37,798,231.81/7,064.07
  6. Step 6: Final answer
    x = 5,350.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.