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Finding the Fourth Proportional to 7,019.47, 9,686.87 and 3,875.66

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Solution

The fourth proportional to 7,019.47, 9,686.87 and 3,875.66 is: 5,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.47 : 9,686.87 = 3,875.66 : x
  2. Step 2: Convert to fraction form
    7,019.47/9,686.87 = 3,875.66/x
  3. Step 3: Cross multiply
    7,019.47x = 9,686.87 × 3,875.66
  4. Step 4: Simplify right side
    7,019.47x = 37,543,024.88
  5. Step 5: Solve for x
    x = 37,543,024.88/7,019.47
  6. Step 6: Final answer
    x = 5,348.41

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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.