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Finding the Fourth Proportional to 6,154.90, 9,232.35 and 4,308.10

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Solution

The fourth proportional to 6,154.90, 9,232.35 and 4,308.10 is: 6,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.90 : 9,232.35 = 4,308.10 : x
  2. Step 2: Convert to fraction form
    6,154.90/9,232.35 = 4,308.10/x
  3. Step 3: Cross multiply
    6,154.90x = 9,232.35 × 4,308.10
  4. Step 4: Simplify right side
    6,154.90x = 39,773,887.04
  5. Step 5: Solve for x
    x = 39,773,887.04/6,154.90
  6. Step 6: Final answer
    x = 6,462.15

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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.