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Finding the Fourth Proportional to 6,445.20, 9,667.80 and 4,985.40

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Solution

The fourth proportional to 6,445.20, 9,667.80 and 4,985.40 is: 7,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.20 : 9,667.80 = 4,985.40 : x
  2. Step 2: Convert to fraction form
    6,445.20/9,667.80 = 4,985.40/x
  3. Step 3: Cross multiply
    6,445.20x = 9,667.80 × 4,985.40
  4. Step 4: Simplify right side
    6,445.20x = 48,197,850.12
  5. Step 5: Solve for x
    x = 48,197,850.12/6,445.20
  6. Step 6: Final answer
    x = 7,478.10

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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.