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Finding the Fourth Proportional to 7,175.85, 9,897.36 and 4,191.51

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Solution

The fourth proportional to 7,175.85, 9,897.36 and 4,191.51 is: 5,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.85 : 9,897.36 = 4,191.51 : x
  2. Step 2: Convert to fraction form
    7,175.85/9,897.36 = 4,191.51/x
  3. Step 3: Cross multiply
    7,175.85x = 9,897.36 × 4,191.51
  4. Step 4: Simplify right side
    7,175.85x = 41,484,883.41
  5. Step 5: Solve for x
    x = 41,484,883.41/7,175.85
  6. Step 6: Final answer
    x = 5,781.18

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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.