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Finding the Fourth Proportional to 9,357.83, 14,029.72 and 5,659.30

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Solution

The fourth proportional to 9,357.83, 14,029.72 and 5,659.30 is: 8,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.83 : 14,029.72 = 5,659.30 : x
  2. Step 2: Convert to fraction form
    9,357.83/14,029.72 = 5,659.30/x
  3. Step 3: Cross multiply
    9,357.83x = 14,029.72 × 5,659.30
  4. Step 4: Simplify right side
    9,357.83x = 79,398,345.17
  5. Step 5: Solve for x
    x = 79,398,345.17/9,357.83
  6. Step 6: Final answer
    x = 8,484.70

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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.