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Finding the Fourth Proportional to 7,064.69, 9,748.62 and 3,877.47

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Solution

The fourth proportional to 7,064.69, 9,748.62 and 3,877.47 is: 5,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.69 : 9,748.62 = 3,877.47 : x
  2. Step 2: Convert to fraction form
    7,064.69/9,748.62 = 3,877.47/x
  3. Step 3: Cross multiply
    7,064.69x = 9,748.62 × 3,877.47
  4. Step 4: Simplify right side
    7,064.69x = 37,799,981.59
  5. Step 5: Solve for x
    x = 37,799,981.59/7,064.69
  6. Step 6: Final answer
    x = 5,350.55

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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.