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Finding the Fourth Proportional to 9,965.99, 14,941.66 and 4,775.51

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Solution

The fourth proportional to 9,965.99, 14,941.66 and 4,775.51 is: 7,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.99 : 14,941.66 = 4,775.51 : x
  2. Step 2: Convert to fraction form
    9,965.99/14,941.66 = 4,775.51/x
  3. Step 3: Cross multiply
    9,965.99x = 14,941.66 × 4,775.51
  4. Step 4: Simplify right side
    9,965.99x = 71,354,046.75
  5. Step 5: Solve for x
    x = 71,354,046.75/9,965.99
  6. Step 6: Final answer
    x = 7,159.76

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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.