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Finding the Fourth Proportional to 7,145.17, 9,862.35 and 5,021.20

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Solution

The fourth proportional to 7,145.17, 9,862.35 and 5,021.20 is: 6,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.17 : 9,862.35 = 5,021.20 : x
  2. Step 2: Convert to fraction form
    7,145.17/9,862.35 = 5,021.20/x
  3. Step 3: Cross multiply
    7,145.17x = 9,862.35 × 5,021.20
  4. Step 4: Simplify right side
    7,145.17x = 49,520,831.82
  5. Step 5: Solve for x
    x = 49,520,831.82/7,145.17
  6. Step 6: Final answer
    x = 6,930.67

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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.