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Finding the Fourth Proportional to 9,522.33, 14,281.34 and 3,975.78

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Solution

The fourth proportional to 9,522.33, 14,281.34 and 3,975.78 is: 5,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.33 : 14,281.34 = 3,975.78 : x
  2. Step 2: Convert to fraction form
    9,522.33/14,281.34 = 3,975.78/x
  3. Step 3: Cross multiply
    9,522.33x = 14,281.34 × 3,975.78
  4. Step 4: Simplify right side
    9,522.33x = 56,779,510.80
  5. Step 5: Solve for x
    x = 56,779,510.80/9,522.33
  6. Step 6: Final answer
    x = 5,962.77

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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.