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Finding the Fourth Proportional to 9,510.91, 14,266.38 and 2,585.41

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Solution

The fourth proportional to 9,510.91, 14,266.38 and 2,585.41 is: 3,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.91 : 14,266.38 = 2,585.41 : x
  2. Step 2: Convert to fraction form
    9,510.91/14,266.38 = 2,585.41/x
  3. Step 3: Cross multiply
    9,510.91x = 14,266.38 × 2,585.41
  4. Step 4: Simplify right side
    9,510.91x = 36,884,441.52
  5. Step 5: Solve for x
    x = 36,884,441.52/9,510.91
  6. Step 6: Final answer
    x = 3,878.12

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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.