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Finding the Fourth Proportional to 7,114.47, 9,817.98 and 3,970.66

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Solution

The fourth proportional to 7,114.47, 9,817.98 and 3,970.66 is: 5,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.47 : 9,817.98 = 3,970.66 : x
  2. Step 2: Convert to fraction form
    7,114.47/9,817.98 = 3,970.66/x
  3. Step 3: Cross multiply
    7,114.47x = 9,817.98 × 3,970.66
  4. Step 4: Simplify right side
    7,114.47x = 38,983,860.47
  5. Step 5: Solve for x
    x = 38,983,860.47/7,114.47
  6. Step 6: Final answer
    x = 5,479.52

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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.