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Finding the Fourth Proportional to 9,596.42, 14,385.38 and 4,918.62

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Solution

The fourth proportional to 9,596.42, 14,385.38 and 4,918.62 is: 7,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.42 : 14,385.38 = 4,918.62 : x
  2. Step 2: Convert to fraction form
    9,596.42/14,385.38 = 4,918.62/x
  3. Step 3: Cross multiply
    9,596.42x = 14,385.38 × 4,918.62
  4. Step 4: Simplify right side
    9,596.42x = 70,756,193.18
  5. Step 5: Solve for x
    x = 70,756,193.18/9,596.42
  6. Step 6: Final answer
    x = 7,373.19

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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.