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Finding the Fourth Proportional to 9,205.10, 13,807.65 and 4,823.90

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Solution

The fourth proportional to 9,205.10, 13,807.65 and 4,823.90 is: 7,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.10 : 13,807.65 = 4,823.90 : x
  2. Step 2: Convert to fraction form
    9,205.10/13,807.65 = 4,823.90/x
  3. Step 3: Cross multiply
    9,205.10x = 13,807.65 × 4,823.90
  4. Step 4: Simplify right side
    9,205.10x = 66,606,722.84
  5. Step 5: Solve for x
    x = 66,606,722.84/9,205.10
  6. Step 6: Final answer
    x = 7,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.