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Finding the Fourth Proportional to 9,111.65, 13,662.75 and 4,177.04

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Solution

The fourth proportional to 9,111.65, 13,662.75 and 4,177.04 is: 6,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.65 : 13,662.75 = 4,177.04 : x
  2. Step 2: Convert to fraction form
    9,111.65/13,662.75 = 4,177.04/x
  3. Step 3: Cross multiply
    9,111.65x = 13,662.75 × 4,177.04
  4. Step 4: Simplify right side
    9,111.65x = 57,069,853.26
  5. Step 5: Solve for x
    x = 57,069,853.26/9,111.65
  6. Step 6: Final answer
    x = 6,263.39

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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.