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Finding the Fourth Proportional to 7,101.86, 9,801.76 and 5,420.08

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Solution

The fourth proportional to 7,101.86, 9,801.76 and 5,420.08 is: 7,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.86 : 9,801.76 = 5,420.08 : x
  2. Step 2: Convert to fraction form
    7,101.86/9,801.76 = 5,420.08/x
  3. Step 3: Cross multiply
    7,101.86x = 9,801.76 × 5,420.08
  4. Step 4: Simplify right side
    7,101.86x = 53,126,323.34
  5. Step 5: Solve for x
    x = 53,126,323.34/7,101.86
  6. Step 6: Final answer
    x = 7,480.62

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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.