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Finding the Fourth Proportional to 6,569.76, 9,076.14 and 4,306.47

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Solution

The fourth proportional to 6,569.76, 9,076.14 and 4,306.47 is: 5,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.76 : 9,076.14 = 4,306.47 : x
  2. Step 2: Convert to fraction form
    6,569.76/9,076.14 = 4,306.47/x
  3. Step 3: Cross multiply
    6,569.76x = 9,076.14 × 4,306.47
  4. Step 4: Simplify right side
    6,569.76x = 39,086,124.63
  5. Step 5: Solve for x
    x = 39,086,124.63/6,569.76
  6. Step 6: Final answer
    x = 5,949.40

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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.