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Finding the Fourth Proportional to 9,326.68, 13,970.49 and 5,626.95

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Solution

The fourth proportional to 9,326.68, 13,970.49 and 5,626.95 is: 8,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.68 : 13,970.49 = 5,626.95 : x
  2. Step 2: Convert to fraction form
    9,326.68/13,970.49 = 5,626.95/x
  3. Step 3: Cross multiply
    9,326.68x = 13,970.49 × 5,626.95
  4. Step 4: Simplify right side
    9,326.68x = 78,611,248.71
  5. Step 5: Solve for x
    x = 78,611,248.71/9,326.68
  6. Step 6: Final answer
    x = 8,428.64

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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.