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Finding the Fourth Proportional to 9,290.42, 12,819.92 and 5,512.93

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Solution

The fourth proportional to 9,290.42, 12,819.92 and 5,512.93 is: 7,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.42 : 12,819.92 = 5,512.93 : x
  2. Step 2: Convert to fraction form
    9,290.42/12,819.92 = 5,512.93/x
  3. Step 3: Cross multiply
    9,290.42x = 12,819.92 × 5,512.93
  4. Step 4: Simplify right side
    9,290.42x = 70,675,303.30
  5. Step 5: Solve for x
    x = 70,675,303.30/9,290.42
  6. Step 6: Final answer
    x = 7,607.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.