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Finding the Fourth Proportional to 9,678.84, 14,527.16 and 5,988.27

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Solution

The fourth proportional to 9,678.84, 14,527.16 and 5,988.27 is: 8,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.84 : 14,527.16 = 5,988.27 : x
  2. Step 2: Convert to fraction form
    9,678.84/14,527.16 = 5,988.27/x
  3. Step 3: Cross multiply
    9,678.84x = 14,527.16 × 5,988.27
  4. Step 4: Simplify right side
    9,678.84x = 86,992,556.41
  5. Step 5: Solve for x
    x = 86,992,556.41/9,678.84
  6. Step 6: Final answer
    x = 8,987.91

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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.