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Finding the Fourth Proportional to 6,291.31, 9,435 and 2,130.55

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Solution

The fourth proportional to 6,291.31, 9,435 and 2,130.55 is: 3,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.31 : 9,435 = 2,130.55 : x
  2. Step 2: Convert to fraction form
    6,291.31/9,435 = 2,130.55/x
  3. Step 3: Cross multiply
    6,291.31x = 9,435 × 2,130.55
  4. Step 4: Simplify right side
    6,291.31x = 20,101,739.25
  5. Step 5: Solve for x
    x = 20,101,739.25/6,291.31
  6. Step 6: Final answer
    x = 3,195.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.