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Finding the Fourth Proportional to 9,618.94, 14,426.65 and 2,599.48

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Solution

The fourth proportional to 9,618.94, 14,426.65 and 2,599.48 is: 3,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.94 : 14,426.65 = 2,599.48 : x
  2. Step 2: Convert to fraction form
    9,618.94/14,426.65 = 2,599.48/x
  3. Step 3: Cross multiply
    9,618.94x = 14,426.65 × 2,599.48
  4. Step 4: Simplify right side
    9,618.94x = 37,501,788.14
  5. Step 5: Solve for x
    x = 37,501,788.14/9,618.94
  6. Step 6: Final answer
    x = 3,898.74

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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.