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Finding the Fourth Proportional to 6,595.30, 9,895.56 and 2,894.95

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Solution

The fourth proportional to 6,595.30, 9,895.56 and 2,894.95 is: 4,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.30 : 9,895.56 = 2,894.95 : x
  2. Step 2: Convert to fraction form
    6,595.30/9,895.56 = 2,894.95/x
  3. Step 3: Cross multiply
    6,595.30x = 9,895.56 × 2,894.95
  4. Step 4: Simplify right side
    6,595.30x = 28,647,151.42
  5. Step 5: Solve for x
    x = 28,647,151.42/6,595.30
  6. Step 6: Final answer
    x = 4,343.57

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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.