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Finding the Fourth Proportional to 9,569.08, 14,353.63 and 5,214.22

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Solution

The fourth proportional to 9,569.08, 14,353.63 and 5,214.22 is: 7,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.08 : 14,353.63 = 5,214.22 : x
  2. Step 2: Convert to fraction form
    9,569.08/14,353.63 = 5,214.22/x
  3. Step 3: Cross multiply
    9,569.08x = 14,353.63 × 5,214.22
  4. Step 4: Simplify right side
    9,569.08x = 74,842,935.70
  5. Step 5: Solve for x
    x = 74,842,935.70/9,569.08
  6. Step 6: Final answer
    x = 7,821.33

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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.