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Finding the Fourth Proportional to 9,756.51, 14,633.28 and 3,182.69

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Solution

The fourth proportional to 9,756.51, 14,633.28 and 3,182.69 is: 4,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.51 : 14,633.28 = 3,182.69 : x
  2. Step 2: Convert to fraction form
    9,756.51/14,633.28 = 3,182.69/x
  3. Step 3: Cross multiply
    9,756.51x = 14,633.28 × 3,182.69
  4. Step 4: Simplify right side
    9,756.51x = 46,573,193.92
  5. Step 5: Solve for x
    x = 46,573,193.92/9,756.51
  6. Step 6: Final answer
    x = 4,773.55

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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.