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Finding the Fourth Proportional to 9,290.43, 12,820.54 and 5,655.12

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Solution

The fourth proportional to 9,290.43, 12,820.54 and 5,655.12 is: 7,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.43 : 12,820.54 = 5,655.12 : x
  2. Step 2: Convert to fraction form
    9,290.43/12,820.54 = 5,655.12/x
  3. Step 3: Cross multiply
    9,290.43x = 12,820.54 × 5,655.12
  4. Step 4: Simplify right side
    9,290.43x = 72,501,692.16
  5. Step 5: Solve for x
    x = 72,501,692.16/9,290.43
  6. Step 6: Final answer
    x = 7,803.91

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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.