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Finding the Fourth Proportional to 9,531, 14,288.40 and 4,267.62

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Solution

The fourth proportional to 9,531, 14,288.40 and 4,267.62 is: 6,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531 : 14,288.40 = 4,267.62 : x
  2. Step 2: Convert to fraction form
    9,531/14,288.40 = 4,267.62/x
  3. Step 3: Cross multiply
    9,531x = 14,288.40 × 4,267.62
  4. Step 4: Simplify right side
    9,531x = 60,977,461.61
  5. Step 5: Solve for x
    x = 60,977,461.61/9,531
  6. Step 6: Final answer
    x = 6,397.80

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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.