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Finding the Fourth Proportional to 9,522.74, 14,271.14 and 6,053.78

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Solution

The fourth proportional to 9,522.74, 14,271.14 and 6,053.78 is: 9,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.74 : 14,271.14 = 6,053.78 : x
  2. Step 2: Convert to fraction form
    9,522.74/14,271.14 = 6,053.78/x
  3. Step 3: Cross multiply
    9,522.74x = 14,271.14 × 6,053.78
  4. Step 4: Simplify right side
    9,522.74x = 86,394,341.91
  5. Step 5: Solve for x
    x = 86,394,341.91/9,522.74
  6. Step 6: Final answer
    x = 9,072.42

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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.