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Finding the Fourth Proportional to 9,166.40, 13,749.60 and 6,862.40

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Solution

The fourth proportional to 9,166.40, 13,749.60 and 6,862.40 is: 10,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.40 : 13,749.60 = 6,862.40 : x
  2. Step 2: Convert to fraction form
    9,166.40/13,749.60 = 6,862.40/x
  3. Step 3: Cross multiply
    9,166.40x = 13,749.60 × 6,862.40
  4. Step 4: Simplify right side
    9,166.40x = 94,355,255.04
  5. Step 5: Solve for x
    x = 94,355,255.04/9,166.40
  6. Step 6: Final answer
    x = 10,293.60

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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.