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Finding the Fourth Proportional to 9,965.72, 14,936.56 and 4,412.76

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Solution

The fourth proportional to 9,965.72, 14,936.56 and 4,412.76 is: 6,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.72 : 14,936.56 = 4,412.76 : x
  2. Step 2: Convert to fraction form
    9,965.72/14,936.56 = 4,412.76/x
  3. Step 3: Cross multiply
    9,965.72x = 14,936.56 × 4,412.76
  4. Step 4: Simplify right side
    9,965.72x = 65,911,454.51
  5. Step 5: Solve for x
    x = 65,911,454.51/9,965.72
  6. Step 6: Final answer
    x = 6,613.82

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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.