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Finding the Fourth Proportional to 6,405, 8,820.18 and 6,135.24

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Solution

The fourth proportional to 6,405, 8,820.18 and 6,135.24 is: 8,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 8,820.18 = 6,135.24 : x
  2. Step 2: Convert to fraction form
    6,405/8,820.18 = 6,135.24/x
  3. Step 3: Cross multiply
    6,405x = 8,820.18 × 6,135.24
  4. Step 4: Simplify right side
    6,405x = 54,113,921.14
  5. Step 5: Solve for x
    x = 54,113,921.14/6,405
  6. Step 6: Final answer
    x = 8,448.70

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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.