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Finding the Fourth Proportional to 9,573.14, 14,359.25 and 2,909.39

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Solution

The fourth proportional to 9,573.14, 14,359.25 and 2,909.39 is: 4,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.14 : 14,359.25 = 2,909.39 : x
  2. Step 2: Convert to fraction form
    9,573.14/14,359.25 = 2,909.39/x
  3. Step 3: Cross multiply
    9,573.14x = 14,359.25 × 2,909.39
  4. Step 4: Simplify right side
    9,573.14x = 41,776,706.81
  5. Step 5: Solve for x
    x = 41,776,706.81/9,573.14
  6. Step 6: Final answer
    x = 4,363.95

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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.