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Finding the Fourth Proportional to 9,510.88, 14,266.38 and 2,585.38

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Solution

The fourth proportional to 9,510.88, 14,266.38 and 2,585.38 is: 3,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.88 : 14,266.38 = 2,585.38 : x
  2. Step 2: Convert to fraction form
    9,510.88/14,266.38 = 2,585.38/x
  3. Step 3: Cross multiply
    9,510.88x = 14,266.38 × 2,585.38
  4. Step 4: Simplify right side
    9,510.88x = 36,884,013.52
  5. Step 5: Solve for x
    x = 36,884,013.52/9,510.88
  6. Step 6: Final answer
    x = 3,878.09

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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.