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Finding the Fourth Proportional to 9,753.68, 14,628.72 and 3,184.76

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Solution

The fourth proportional to 9,753.68, 14,628.72 and 3,184.76 is: 4,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.68 : 14,628.72 = 3,184.76 : x
  2. Step 2: Convert to fraction form
    9,753.68/14,628.72 = 3,184.76/x
  3. Step 3: Cross multiply
    9,753.68x = 14,628.72 × 3,184.76
  4. Step 4: Simplify right side
    9,753.68x = 46,588,962.31
  5. Step 5: Solve for x
    x = 46,588,962.31/9,753.68
  6. Step 6: Final answer
    x = 4,776.55

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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.