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Finding the Fourth Proportional to 9,578.82, 13,221.45 and 5,803.14

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Solution

The fourth proportional to 9,578.82, 13,221.45 and 5,803.14 is: 8,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.82 : 13,221.45 = 5,803.14 : x
  2. Step 2: Convert to fraction form
    9,578.82/13,221.45 = 5,803.14/x
  3. Step 3: Cross multiply
    9,578.82x = 13,221.45 × 5,803.14
  4. Step 4: Simplify right side
    9,578.82x = 76,725,925.35
  5. Step 5: Solve for x
    x = 76,725,925.35/9,578.82
  6. Step 6: Final answer
    x = 8,009.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.