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Finding the Fourth Proportional to 9,624.78, 13,280.58 and 5,847.30

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Solution

The fourth proportional to 9,624.78, 13,280.58 and 5,847.30 is: 8,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.78 : 13,280.58 = 5,847.30 : x
  2. Step 2: Convert to fraction form
    9,624.78/13,280.58 = 5,847.30/x
  3. Step 3: Cross multiply
    9,624.78x = 13,280.58 × 5,847.30
  4. Step 4: Simplify right side
    9,624.78x = 77,655,535.43
  5. Step 5: Solve for x
    x = 77,655,535.43/9,624.78
  6. Step 6: Final answer
    x = 8,068.29

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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.