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Finding the Fourth Proportional to 9,033.86, 13,547.42 and 3,109.10

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Solution

The fourth proportional to 9,033.86, 13,547.42 and 3,109.10 is: 4,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.86 : 13,547.42 = 3,109.10 : x
  2. Step 2: Convert to fraction form
    9,033.86/13,547.42 = 3,109.10/x
  3. Step 3: Cross multiply
    9,033.86x = 13,547.42 × 3,109.10
  4. Step 4: Simplify right side
    9,033.86x = 42,120,200.24
  5. Step 5: Solve for x
    x = 42,120,200.24/9,033.86
  6. Step 6: Final answer
    x = 4,662.48

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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.