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Finding the Fourth Proportional to 9.59, 14.35 and 5.76

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Solution

The fourth proportional to 9.59, 14.35 and 5.76 is: 8.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.59 : 14.35 = 5.76 : x
  2. Step 2: Convert to fraction form
    9.59/14.35 = 5.76/x
  3. Step 3: Cross multiply
    9.59x = 14.35 × 5.76
  4. Step 4: Simplify right side
    9.59x = 82.68
  5. Step 5: Solve for x
    x = 82.68/9.59
  6. Step 6: Final answer
    x = 8.62

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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.