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Finding the Fourth Proportional to 7,111.62, 9,814.01 and 4,129.20

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Solution

The fourth proportional to 7,111.62, 9,814.01 and 4,129.20 is: 5,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.62 : 9,814.01 = 4,129.20 : x
  2. Step 2: Convert to fraction form
    7,111.62/9,814.01 = 4,129.20/x
  3. Step 3: Cross multiply
    7,111.62x = 9,814.01 × 4,129.20
  4. Step 4: Simplify right side
    7,111.62x = 40,523,971.34
  5. Step 5: Solve for x
    x = 40,523,971.34/7,111.62
  6. Step 6: Final answer
    x = 5,698.28

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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.