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Finding the Fourth Proportional to 9,855.17, 14,782.53 and 4,011.78

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Solution

The fourth proportional to 9,855.17, 14,782.53 and 4,011.78 is: 6,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.17 : 14,782.53 = 4,011.78 : x
  2. Step 2: Convert to fraction form
    9,855.17/14,782.53 = 4,011.78/x
  3. Step 3: Cross multiply
    9,855.17x = 14,782.53 × 4,011.78
  4. Step 4: Simplify right side
    9,855.17x = 59,304,211.68
  5. Step 5: Solve for x
    x = 59,304,211.68/9,855.17
  6. Step 6: Final answer
    x = 6,017.57

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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.