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Finding the Fourth Proportional to 7,126.47, 9,835.29 and 4,143.69

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Solution

The fourth proportional to 7,126.47, 9,835.29 and 4,143.69 is: 5,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.47 : 9,835.29 = 4,143.69 : x
  2. Step 2: Convert to fraction form
    7,126.47/9,835.29 = 4,143.69/x
  3. Step 3: Cross multiply
    7,126.47x = 9,835.29 × 4,143.69
  4. Step 4: Simplify right side
    7,126.47x = 40,754,392.82
  5. Step 5: Solve for x
    x = 40,754,392.82/7,126.47
  6. Step 6: Final answer
    x = 5,718.73

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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.