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Finding the Fourth Proportional to 6,402.44, 9,595.50 and 2,888.68

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Solution

The fourth proportional to 6,402.44, 9,595.50 and 2,888.68 is: 4,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.44 : 9,595.50 = 2,888.68 : x
  2. Step 2: Convert to fraction form
    6,402.44/9,595.50 = 2,888.68/x
  3. Step 3: Cross multiply
    6,402.44x = 9,595.50 × 2,888.68
  4. Step 4: Simplify right side
    6,402.44x = 27,718,328.94
  5. Step 5: Solve for x
    x = 27,718,328.94/6,402.44
  6. Step 6: Final answer
    x = 4,329.34

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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.