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Finding the Fourth Proportional to 9,618.76, 14,426.76 and 2,599.19

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Solution

The fourth proportional to 9,618.76, 14,426.76 and 2,599.19 is: 3,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.76 : 14,426.76 = 2,599.19 : x
  2. Step 2: Convert to fraction form
    9,618.76/14,426.76 = 2,599.19/x
  3. Step 3: Cross multiply
    9,618.76x = 14,426.76 × 2,599.19
  4. Step 4: Simplify right side
    9,618.76x = 37,497,867.42
  5. Step 5: Solve for x
    x = 37,497,867.42/9,618.76
  6. Step 6: Final answer
    x = 3,898.41

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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.