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Finding the Fourth Proportional to 9,628.04, 14,447.82 and 5,526.92

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Solution

The fourth proportional to 9,628.04, 14,447.82 and 5,526.92 is: 8,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.04 : 14,447.82 = 5,526.92 : x
  2. Step 2: Convert to fraction form
    9,628.04/14,447.82 = 5,526.92/x
  3. Step 3: Cross multiply
    9,628.04x = 14,447.82 × 5,526.92
  4. Step 4: Simplify right side
    9,628.04x = 79,851,945.31
  5. Step 5: Solve for x
    x = 79,851,945.31/9,628.04
  6. Step 6: Final answer
    x = 8,293.69

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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.