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Finding the Fourth Proportional to 9,204.54, 12,700.52 and 5,847.90

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Solution

The fourth proportional to 9,204.54, 12,700.52 and 5,847.90 is: 8,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.54 : 12,700.52 = 5,847.90 : x
  2. Step 2: Convert to fraction form
    9,204.54/12,700.52 = 5,847.90/x
  3. Step 3: Cross multiply
    9,204.54x = 12,700.52 × 5,847.90
  4. Step 4: Simplify right side
    9,204.54x = 74,271,370.91
  5. Step 5: Solve for x
    x = 74,271,370.91/9,204.54
  6. Step 6: Final answer
    x = 8,068.99

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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.