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Finding the Fourth Proportional to 7,127.78, 9,831.66 and 4,293.20

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Solution

The fourth proportional to 7,127.78, 9,831.66 and 4,293.20 is: 5,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.78 : 9,831.66 = 4,293.20 : x
  2. Step 2: Convert to fraction form
    7,127.78/9,831.66 = 4,293.20/x
  3. Step 3: Cross multiply
    7,127.78x = 9,831.66 × 4,293.20
  4. Step 4: Simplify right side
    7,127.78x = 42,209,233.55
  5. Step 5: Solve for x
    x = 42,209,233.55/7,127.78
  6. Step 6: Final answer
    x = 5,921.80

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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.