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Finding the Fourth Proportional to 9,899.52, 14,841.12 and 8,046

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Solution

The fourth proportional to 9,899.52, 14,841.12 and 8,046 is: 12,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.52 : 14,841.12 = 8,046 : x
  2. Step 2: Convert to fraction form
    9,899.52/14,841.12 = 8,046/x
  3. Step 3: Cross multiply
    9,899.52x = 14,841.12 × 8,046
  4. Step 4: Simplify right side
    9,899.52x = 119,411,651.52
  5. Step 5: Solve for x
    x = 119,411,651.52/9,899.52
  6. Step 6: Final answer
    x = 12,062.37

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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.