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Finding the Fourth Proportional to 9,420.18, 14,132.70 and 4,229.70

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Solution

The fourth proportional to 9,420.18, 14,132.70 and 4,229.70 is: 6,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.18 : 14,132.70 = 4,229.70 : x
  2. Step 2: Convert to fraction form
    9,420.18/14,132.70 = 4,229.70/x
  3. Step 3: Cross multiply
    9,420.18x = 14,132.70 × 4,229.70
  4. Step 4: Simplify right side
    9,420.18x = 59,777,081.19
  5. Step 5: Solve for x
    x = 59,777,081.19/9,420.18
  6. Step 6: Final answer
    x = 6,345.64

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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.