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Finding the Fourth Proportional to 7,100.86, 9,799.35 and 3,957.24

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Solution

The fourth proportional to 7,100.86, 9,799.35 and 3,957.24 is: 5,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.86 : 9,799.35 = 3,957.24 : x
  2. Step 2: Convert to fraction form
    7,100.86/9,799.35 = 3,957.24/x
  3. Step 3: Cross multiply
    7,100.86x = 9,799.35 × 3,957.24
  4. Step 4: Simplify right side
    7,100.86x = 38,778,379.79
  5. Step 5: Solve for x
    x = 38,778,379.79/7,100.86
  6. Step 6: Final answer
    x = 5,461.08

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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.