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Finding the Fourth Proportional to 9,709.29, 13,398.50 and 5,460.54

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Solution

The fourth proportional to 9,709.29, 13,398.50 and 5,460.54 is: 7,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.29 : 13,398.50 = 5,460.54 : x
  2. Step 2: Convert to fraction form
    9,709.29/13,398.50 = 5,460.54/x
  3. Step 3: Cross multiply
    9,709.29x = 13,398.50 × 5,460.54
  4. Step 4: Simplify right side
    9,709.29x = 73,162,978.20
  5. Step 5: Solve for x
    x = 73,162,978.20/9,709.29
  6. Step 6: Final answer
    x = 7,535.36

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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.