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Finding the Fourth Proportional to 9,941.60, 14,894.04 and 8,308.64

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Solution

The fourth proportional to 9,941.60, 14,894.04 and 8,308.64 is: 12,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.60 : 14,894.04 = 8,308.64 : x
  2. Step 2: Convert to fraction form
    9,941.60/14,894.04 = 8,308.64/x
  3. Step 3: Cross multiply
    9,941.60x = 14,894.04 × 8,308.64
  4. Step 4: Simplify right side
    9,941.60x = 123,749,216.51
  5. Step 5: Solve for x
    x = 123,749,216.51/9,941.60
  6. Step 6: Final answer
    x = 12,447.62

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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.