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Finding the Fourth Proportional to 9,678.93, 14,520.54 and 3,439.32

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Solution

The fourth proportional to 9,678.93, 14,520.54 and 3,439.32 is: 5,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.93 : 14,520.54 = 3,439.32 : x
  2. Step 2: Convert to fraction form
    9,678.93/14,520.54 = 3,439.32/x
  3. Step 3: Cross multiply
    9,678.93x = 14,520.54 × 3,439.32
  4. Step 4: Simplify right side
    9,678.93x = 49,940,783.63
  5. Step 5: Solve for x
    x = 49,940,783.63/9,678.93
  6. Step 6: Final answer
    x = 5,159.74

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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.