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Finding the Fourth Proportional to 9,041.37, 13,564.12 and 3,494.76

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Solution

The fourth proportional to 9,041.37, 13,564.12 and 3,494.76 is: 5,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.37 : 13,564.12 = 3,494.76 : x
  2. Step 2: Convert to fraction form
    9,041.37/13,564.12 = 3,494.76/x
  3. Step 3: Cross multiply
    9,041.37x = 13,564.12 × 3,494.76
  4. Step 4: Simplify right side
    9,041.37x = 47,403,344.01
  5. Step 5: Solve for x
    x = 47,403,344.01/9,041.37
  6. Step 6: Final answer
    x = 5,242.94

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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.