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Finding the Fourth Proportional to 6,934.88, 9,569.02 and 4,283.16

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Solution

The fourth proportional to 6,934.88, 9,569.02 and 4,283.16 is: 5,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.88 : 9,569.02 = 4,283.16 : x
  2. Step 2: Convert to fraction form
    6,934.88/9,569.02 = 4,283.16/x
  3. Step 3: Cross multiply
    6,934.88x = 9,569.02 × 4,283.16
  4. Step 4: Simplify right side
    6,934.88x = 40,985,643.70
  5. Step 5: Solve for x
    x = 40,985,643.70/6,934.88
  6. Step 6: Final answer
    x = 5,910.07

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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.