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Finding the Fourth Proportional to 9,587.22, 14,361.39 and 4,960.50

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Solution

The fourth proportional to 9,587.22, 14,361.39 and 4,960.50 is: 7,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.22 : 14,361.39 = 4,960.50 : x
  2. Step 2: Convert to fraction form
    9,587.22/14,361.39 = 4,960.50/x
  3. Step 3: Cross multiply
    9,587.22x = 14,361.39 × 4,960.50
  4. Step 4: Simplify right side
    9,587.22x = 71,239,675.10
  5. Step 5: Solve for x
    x = 71,239,675.10/9,587.22
  6. Step 6: Final answer
    x = 7,430.69

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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.