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Finding the Fourth Proportional to 9,417.53, 14,138.60 and 7,965.92

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Solution

The fourth proportional to 9,417.53, 14,138.60 and 7,965.92 is: 11,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.53 : 14,138.60 = 7,965.92 : x
  2. Step 2: Convert to fraction form
    9,417.53/14,138.60 = 7,965.92/x
  3. Step 3: Cross multiply
    9,417.53x = 14,138.60 × 7,965.92
  4. Step 4: Simplify right side
    9,417.53x = 112,626,845.99
  5. Step 5: Solve for x
    x = 112,626,845.99/9,417.53
  6. Step 6: Final answer
    x = 11,959.28

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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.