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Finding the Fourth Proportional to 9,897.17, 14,846.21 and 5,511.32

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Solution

The fourth proportional to 9,897.17, 14,846.21 and 5,511.32 is: 8,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.17 : 14,846.21 = 5,511.32 : x
  2. Step 2: Convert to fraction form
    9,897.17/14,846.21 = 5,511.32/x
  3. Step 3: Cross multiply
    9,897.17x = 14,846.21 × 5,511.32
  4. Step 4: Simplify right side
    9,897.17x = 81,822,112.31
  5. Step 5: Solve for x
    x = 81,822,112.31/9,897.17
  6. Step 6: Final answer
    x = 8,267.23

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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.