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Finding the Fourth Proportional to 9,026.69, 13,538.64 and 3,482.63

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Solution

The fourth proportional to 9,026.69, 13,538.64 and 3,482.63 is: 5,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.69 : 13,538.64 = 3,482.63 : x
  2. Step 2: Convert to fraction form
    9,026.69/13,538.64 = 3,482.63/x
  3. Step 3: Cross multiply
    9,026.69x = 13,538.64 × 3,482.63
  4. Step 4: Simplify right side
    9,026.69x = 47,150,073.82
  5. Step 5: Solve for x
    x = 47,150,073.82/9,026.69
  6. Step 6: Final answer
    x = 5,223.41

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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.