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Finding the Fourth Proportional to 7,154.09, 9,874.80 and 4,636.34

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Solution

The fourth proportional to 7,154.09, 9,874.80 and 4,636.34 is: 6,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.09 : 9,874.80 = 4,636.34 : x
  2. Step 2: Convert to fraction form
    7,154.09/9,874.80 = 4,636.34/x
  3. Step 3: Cross multiply
    7,154.09x = 9,874.80 × 4,636.34
  4. Step 4: Simplify right side
    7,154.09x = 45,782,930.23
  5. Step 5: Solve for x
    x = 45,782,930.23/7,154.09
  6. Step 6: Final answer
    x = 6,399.55

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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.