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Finding the Fourth Proportional to 9,043.13, 13,564.70 and 4,114.17

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Solution

The fourth proportional to 9,043.13, 13,564.70 and 4,114.17 is: 6,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.13 : 13,564.70 = 4,114.17 : x
  2. Step 2: Convert to fraction form
    9,043.13/13,564.70 = 4,114.17/x
  3. Step 3: Cross multiply
    9,043.13x = 13,564.70 × 4,114.17
  4. Step 4: Simplify right side
    9,043.13x = 55,807,461.23
  5. Step 5: Solve for x
    x = 55,807,461.23/9,043.13
  6. Step 6: Final answer
    x = 6,171.26

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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.