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Finding the Fourth Proportional to 9.59, 14.40 and 5.09

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Solution

The fourth proportional to 9.59, 14.40 and 5.09 is: 7.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.59 : 14.40 = 5.09 : x
  2. Step 2: Convert to fraction form
    9.59/14.40 = 5.09/x
  3. Step 3: Cross multiply
    9.59x = 14.40 × 5.09
  4. Step 4: Simplify right side
    9.59x = 73.22
  5. Step 5: Solve for x
    x = 73.22/9.59
  6. Step 6: Final answer
    x = 7.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.