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Finding the Fourth Proportional to 9,654.42, 14,479.74 and 3,078.84

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Solution

The fourth proportional to 9,654.42, 14,479.74 and 3,078.84 is: 4,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.42 : 14,479.74 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    9,654.42/14,479.74 = 3,078.84/x
  3. Step 3: Cross multiply
    9,654.42x = 14,479.74 × 3,078.84
  4. Step 4: Simplify right side
    9,654.42x = 44,580,802.70
  5. Step 5: Solve for x
    x = 44,580,802.70/9,654.42
  6. Step 6: Final answer
    x = 4,617.66

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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.