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Finding the Fourth Proportional to 9,005.49, 13,506.69 and 4,074

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Solution

The fourth proportional to 9,005.49, 13,506.69 and 4,074 is: 6,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.49 : 13,506.69 = 4,074 : x
  2. Step 2: Convert to fraction form
    9,005.49/13,506.69 = 4,074/x
  3. Step 3: Cross multiply
    9,005.49x = 13,506.69 × 4,074
  4. Step 4: Simplify right side
    9,005.49x = 55,026,255.06
  5. Step 5: Solve for x
    x = 55,026,255.06/9,005.49
  6. Step 6: Final answer
    x = 6,110.30

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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.