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Finding the Fourth Proportional to 9,166.60, 13,749.90 and 7,287.40

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Solution

The fourth proportional to 9,166.60, 13,749.90 and 7,287.40 is: 10,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.60 : 13,749.90 = 7,287.40 : x
  2. Step 2: Convert to fraction form
    9,166.60/13,749.90 = 7,287.40/x
  3. Step 3: Cross multiply
    9,166.60x = 13,749.90 × 7,287.40
  4. Step 4: Simplify right side
    9,166.60x = 100,201,021.26
  5. Step 5: Solve for x
    x = 100,201,021.26/9,166.60
  6. Step 6: Final answer
    x = 10,931.10

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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.