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Finding the Fourth Proportional to 9,357.96, 14,029.74 and 5,659.32

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Solution

The fourth proportional to 9,357.96, 14,029.74 and 5,659.32 is: 8,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.96 : 14,029.74 = 5,659.32 : x
  2. Step 2: Convert to fraction form
    9,357.96/14,029.74 = 5,659.32/x
  3. Step 3: Cross multiply
    9,357.96x = 14,029.74 × 5,659.32
  4. Step 4: Simplify right side
    9,357.96x = 79,398,788.18
  5. Step 5: Solve for x
    x = 79,398,788.18/9,357.96
  6. Step 6: Final answer
    x = 8,484.63

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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.