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Finding the Fourth Proportional to 9,564.32, 14,346.48 and 3,408.32

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Solution

The fourth proportional to 9,564.32, 14,346.48 and 3,408.32 is: 5,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.32 : 14,346.48 = 3,408.32 : x
  2. Step 2: Convert to fraction form
    9,564.32/14,346.48 = 3,408.32/x
  3. Step 3: Cross multiply
    9,564.32x = 14,346.48 × 3,408.32
  4. Step 4: Simplify right side
    9,564.32x = 48,897,394.71
  5. Step 5: Solve for x
    x = 48,897,394.71/9,564.32
  6. Step 6: Final answer
    x = 5,112.48

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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.