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Finding the Fourth Proportional to 9,678.64, 14,511.91 and 4,054.79

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Solution

The fourth proportional to 9,678.64, 14,511.91 and 4,054.79 is: 6,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.64 : 14,511.91 = 4,054.79 : x
  2. Step 2: Convert to fraction form
    9,678.64/14,511.91 = 4,054.79/x
  3. Step 3: Cross multiply
    9,678.64x = 14,511.91 × 4,054.79
  4. Step 4: Simplify right side
    9,678.64x = 58,842,744.12
  5. Step 5: Solve for x
    x = 58,842,744.12/9,678.64
  6. Step 6: Final answer
    x = 6,079.65

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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.