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Finding the Fourth Proportional to 9,047.61, 13,564.11 and 3,498.09

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Solution

The fourth proportional to 9,047.61, 13,564.11 and 3,498.09 is: 5,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.61 : 13,564.11 = 3,498.09 : x
  2. Step 2: Convert to fraction form
    9,047.61/13,564.11 = 3,498.09/x
  3. Step 3: Cross multiply
    9,047.61x = 13,564.11 × 3,498.09
  4. Step 4: Simplify right side
    9,047.61x = 47,448,477.55
  5. Step 5: Solve for x
    x = 47,448,477.55/9,047.61
  6. Step 6: Final answer
    x = 5,244.31

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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.