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Finding the Fourth Proportional to 9,789.66, 13,513.23 and 5,600.34

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Solution

The fourth proportional to 9,789.66, 13,513.23 and 5,600.34 is: 7,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.66 : 13,513.23 = 5,600.34 : x
  2. Step 2: Convert to fraction form
    9,789.66/13,513.23 = 5,600.34/x
  3. Step 3: Cross multiply
    9,789.66x = 13,513.23 × 5,600.34
  4. Step 4: Simplify right side
    9,789.66x = 75,678,682.50
  5. Step 5: Solve for x
    x = 75,678,682.50/9,789.66
  6. Step 6: Final answer
    x = 7,730.47

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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.