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Finding the Fourth Proportional to 9,225.19, 13,841.84 and 4,841.62

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Solution

The fourth proportional to 9,225.19, 13,841.84 and 4,841.62 is: 7,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.19 : 13,841.84 = 4,841.62 : x
  2. Step 2: Convert to fraction form
    9,225.19/13,841.84 = 4,841.62/x
  3. Step 3: Cross multiply
    9,225.19x = 13,841.84 × 4,841.62
  4. Step 4: Simplify right side
    9,225.19x = 67,016,957.51
  5. Step 5: Solve for x
    x = 67,016,957.51/9,225.19
  6. Step 6: Final answer
    x = 7,264.56

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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.