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Finding the Fourth Proportional to 9,005.46, 13,442.38 and 8,355.02

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Solution

The fourth proportional to 9,005.46, 13,442.38 and 8,355.02 is: 12,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.46 : 13,442.38 = 8,355.02 : x
  2. Step 2: Convert to fraction form
    9,005.46/13,442.38 = 8,355.02/x
  3. Step 3: Cross multiply
    9,005.46x = 13,442.38 × 8,355.02
  4. Step 4: Simplify right side
    9,005.46x = 112,311,353.75
  5. Step 5: Solve for x
    x = 112,311,353.75/9,005.46
  6. Step 6: Final answer
    x = 12,471.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.