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Finding the Fourth Proportional to 9,187, 13,773.58 and 4,739.90

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Solution

The fourth proportional to 9,187, 13,773.58 and 4,739.90 is: 7,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187 : 13,773.58 = 4,739.90 : x
  2. Step 2: Convert to fraction form
    9,187/13,773.58 = 4,739.90/x
  3. Step 3: Cross multiply
    9,187x = 13,773.58 × 4,739.90
  4. Step 4: Simplify right side
    9,187x = 65,285,391.84
  5. Step 5: Solve for x
    x = 65,285,391.84/9,187
  6. Step 6: Final answer
    x = 7,106.28

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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.