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Finding the Fourth Proportional to 9,929.34, 14,896.71 and 8,841.24

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Solution

The fourth proportional to 9,929.34, 14,896.71 and 8,841.24 is: 13,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.34 : 14,896.71 = 8,841.24 : x
  2. Step 2: Convert to fraction form
    9,929.34/14,896.71 = 8,841.24/x
  3. Step 3: Cross multiply
    9,929.34x = 14,896.71 × 8,841.24
  4. Step 4: Simplify right side
    9,929.34x = 131,705,388.32
  5. Step 5: Solve for x
    x = 131,705,388.32/9,929.34
  6. Step 6: Final answer
    x = 13,264.26

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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.