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Finding the Fourth Proportional to 7,127.13, 9,833.02 and 4,140.50

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Solution

The fourth proportional to 7,127.13, 9,833.02 and 4,140.50 is: 5,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.13 : 9,833.02 = 4,140.50 : x
  2. Step 2: Convert to fraction form
    7,127.13/9,833.02 = 4,140.50/x
  3. Step 3: Cross multiply
    7,127.13x = 9,833.02 × 4,140.50
  4. Step 4: Simplify right side
    7,127.13x = 40,713,619.31
  5. Step 5: Solve for x
    x = 40,713,619.31/7,127.13
  6. Step 6: Final answer
    x = 5,712.48

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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.