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Finding the Fourth Proportional to 6,381.80, 9,574.51 and 4,628.55

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Solution

The fourth proportional to 6,381.80, 9,574.51 and 4,628.55 is: 6,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.80 : 9,574.51 = 4,628.55 : x
  2. Step 2: Convert to fraction form
    6,381.80/9,574.51 = 4,628.55/x
  3. Step 3: Cross multiply
    6,381.80x = 9,574.51 × 4,628.55
  4. Step 4: Simplify right side
    6,381.80x = 44,316,098.26
  5. Step 5: Solve for x
    x = 44,316,098.26/6,381.80
  6. Step 6: Final answer
    x = 6,944.14

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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.