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Finding the Fourth Proportional to 7,145.99, 9,862.07 and 4,162.76

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Solution

The fourth proportional to 7,145.99, 9,862.07 and 4,162.76 is: 5,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.99 : 9,862.07 = 4,162.76 : x
  2. Step 2: Convert to fraction form
    7,145.99/9,862.07 = 4,162.76/x
  3. Step 3: Cross multiply
    7,145.99x = 9,862.07 × 4,162.76
  4. Step 4: Simplify right side
    7,145.99x = 41,053,430.51
  5. Step 5: Solve for x
    x = 41,053,430.51/7,145.99
  6. Step 6: Final answer
    x = 5,744.96

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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.