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Finding the Fourth Proportional to 9,645.48, 13,298.40 and 7,652.61

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Solution

The fourth proportional to 9,645.48, 13,298.40 and 7,652.61 is: 10,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.48 : 13,298.40 = 7,652.61 : x
  2. Step 2: Convert to fraction form
    9,645.48/13,298.40 = 7,652.61/x
  3. Step 3: Cross multiply
    9,645.48x = 13,298.40 × 7,652.61
  4. Step 4: Simplify right side
    9,645.48x = 101,767,468.82
  5. Step 5: Solve for x
    x = 101,767,468.82/9,645.48
  6. Step 6: Final answer
    x = 10,550.79

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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.