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Finding the Fourth Proportional to 9,346.40, 14,005.20 and 6,264.80

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Solution

The fourth proportional to 9,346.40, 14,005.20 and 6,264.80 is: 9,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.40 : 14,005.20 = 6,264.80 : x
  2. Step 2: Convert to fraction form
    9,346.40/14,005.20 = 6,264.80/x
  3. Step 3: Cross multiply
    9,346.40x = 14,005.20 × 6,264.80
  4. Step 4: Simplify right side
    9,346.40x = 87,739,776.96
  5. Step 5: Solve for x
    x = 87,739,776.96/9,346.40
  6. Step 6: Final answer
    x = 9,387.55

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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.