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Finding the Fourth Proportional to 9,509.86, 14,269.92 and 4,511.08

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Solution

The fourth proportional to 9,509.86, 14,269.92 and 4,511.08 is: 6,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.86 : 14,269.92 = 4,511.08 : x
  2. Step 2: Convert to fraction form
    9,509.86/14,269.92 = 4,511.08/x
  3. Step 3: Cross multiply
    9,509.86x = 14,269.92 × 4,511.08
  4. Step 4: Simplify right side
    9,509.86x = 64,372,750.71
  5. Step 5: Solve for x
    x = 64,372,750.71/9,509.86
  6. Step 6: Final answer
    x = 6,769.05

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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.