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Finding the Fourth Proportional to 7,042.84, 9,718.44 and 4,209.65

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Solution

The fourth proportional to 7,042.84, 9,718.44 and 4,209.65 is: 5,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.84 : 9,718.44 = 4,209.65 : x
  2. Step 2: Convert to fraction form
    7,042.84/9,718.44 = 4,209.65/x
  3. Step 3: Cross multiply
    7,042.84x = 9,718.44 × 4,209.65
  4. Step 4: Simplify right side
    7,042.84x = 40,911,230.95
  5. Step 5: Solve for x
    x = 40,911,230.95/7,042.84
  6. Step 6: Final answer
    x = 5,808.91

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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.