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Finding the Fourth Proportional to 9,887.63, 13,644.59 and 5,411.30

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Solution

The fourth proportional to 9,887.63, 13,644.59 and 5,411.30 is: 7,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.63 : 13,644.59 = 5,411.30 : x
  2. Step 2: Convert to fraction form
    9,887.63/13,644.59 = 5,411.30/x
  3. Step 3: Cross multiply
    9,887.63x = 13,644.59 × 5,411.30
  4. Step 4: Simplify right side
    9,887.63x = 73,834,874.59
  5. Step 5: Solve for x
    x = 73,834,874.59/9,887.63
  6. Step 6: Final answer
    x = 7,467.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.