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Finding the Fourth Proportional to 7,225.80, 9,967.62 and 4,240.20

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Solution

The fourth proportional to 7,225.80, 9,967.62 and 4,240.20 is: 5,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.80 : 9,967.62 = 4,240.20 : x
  2. Step 2: Convert to fraction form
    7,225.80/9,967.62 = 4,240.20/x
  3. Step 3: Cross multiply
    7,225.80x = 9,967.62 × 4,240.20
  4. Step 4: Simplify right side
    7,225.80x = 42,264,702.32
  5. Step 5: Solve for x
    x = 42,264,702.32/7,225.80
  6. Step 6: Final answer
    x = 5,849.14

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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.