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Finding the Fourth Proportional to 9,359.83, 14,014.41 and 5,841.42

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Solution

The fourth proportional to 9,359.83, 14,014.41 and 5,841.42 is: 8,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.83 : 14,014.41 = 5,841.42 : x
  2. Step 2: Convert to fraction form
    9,359.83/14,014.41 = 5,841.42/x
  3. Step 3: Cross multiply
    9,359.83x = 14,014.41 × 5,841.42
  4. Step 4: Simplify right side
    9,359.83x = 81,864,054.86
  5. Step 5: Solve for x
    x = 81,864,054.86/9,359.83
  6. Step 6: Final answer
    x = 8,746.32

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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.