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Finding the Fourth Proportional to 9,106.83, 13,655.79 and 4,174.74

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Solution

The fourth proportional to 9,106.83, 13,655.79 and 4,174.74 is: 6,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.83 : 13,655.79 = 4,174.74 : x
  2. Step 2: Convert to fraction form
    9,106.83/13,655.79 = 4,174.74/x
  3. Step 3: Cross multiply
    9,106.83x = 13,655.79 × 4,174.74
  4. Step 4: Simplify right side
    9,106.83x = 57,009,372.74
  5. Step 5: Solve for x
    x = 57,009,372.74/9,106.83
  6. Step 6: Final answer
    x = 6,260.07

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