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Finding the Fourth Proportional to 7,123.89, 9,831.15 and 3,980.28

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Solution

The fourth proportional to 7,123.89, 9,831.15 and 3,980.28 is: 5,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.89 : 9,831.15 = 3,980.28 : x
  2. Step 2: Convert to fraction form
    7,123.89/9,831.15 = 3,980.28/x
  3. Step 3: Cross multiply
    7,123.89x = 9,831.15 × 3,980.28
  4. Step 4: Simplify right side
    7,123.89x = 39,130,729.72
  5. Step 5: Solve for x
    x = 39,130,729.72/7,123.89
  6. Step 6: Final answer
    x = 5,492.89

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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.