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Finding the Fourth Proportional to 7,219.86, 9,963.60 and 4,349.40

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Solution

The fourth proportional to 7,219.86, 9,963.60 and 4,349.40 is: 6,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.86 : 9,963.60 = 4,349.40 : x
  2. Step 2: Convert to fraction form
    7,219.86/9,963.60 = 4,349.40/x
  3. Step 3: Cross multiply
    7,219.86x = 9,963.60 × 4,349.40
  4. Step 4: Simplify right side
    7,219.86x = 43,335,681.84
  5. Step 5: Solve for x
    x = 43,335,681.84/7,219.86
  6. Step 6: Final answer
    x = 6,002.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.