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Finding the Fourth Proportional to 9,753.48, 14,631.74 and 3,178.14

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Solution

The fourth proportional to 9,753.48, 14,631.74 and 3,178.14 is: 4,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.48 : 14,631.74 = 3,178.14 : x
  2. Step 2: Convert to fraction form
    9,753.48/14,631.74 = 3,178.14/x
  3. Step 3: Cross multiply
    9,753.48x = 14,631.74 × 3,178.14
  4. Step 4: Simplify right side
    9,753.48x = 46,501,659.32
  5. Step 5: Solve for x
    x = 46,501,659.32/9,753.48
  6. Step 6: Final answer
    x = 4,767.70

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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.