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Finding the Fourth Proportional to 9,110.30, 13,661.40 and 4,177.40

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Solution

The fourth proportional to 9,110.30, 13,661.40 and 4,177.40 is: 6,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.30 : 13,661.40 = 4,177.40 : x
  2. Step 2: Convert to fraction form
    9,110.30/13,661.40 = 4,177.40/x
  3. Step 3: Cross multiply
    9,110.30x = 13,661.40 × 4,177.40
  4. Step 4: Simplify right side
    9,110.30x = 57,069,132.36
  5. Step 5: Solve for x
    x = 57,069,132.36/9,110.30
  6. Step 6: Final answer
    x = 6,264.24

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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.