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Finding the Fourth Proportional to 6,473.94, 8,934.95 and 3,641.53

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Solution

The fourth proportional to 6,473.94, 8,934.95 and 3,641.53 is: 5,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.94 : 8,934.95 = 3,641.53 : x
  2. Step 2: Convert to fraction form
    6,473.94/8,934.95 = 3,641.53/x
  3. Step 3: Cross multiply
    6,473.94x = 8,934.95 × 3,641.53
  4. Step 4: Simplify right side
    6,473.94x = 32,536,888.47
  5. Step 5: Solve for x
    x = 32,536,888.47/6,473.94
  6. Step 6: Final answer
    x = 5,025.82

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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.