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Finding the Fourth Proportional to 9,905.12, 13,671.27 and 6,548.41

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Solution

The fourth proportional to 9,905.12, 13,671.27 and 6,548.41 is: 9,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.12 : 13,671.27 = 6,548.41 : x
  2. Step 2: Convert to fraction form
    9,905.12/13,671.27 = 6,548.41/x
  3. Step 3: Cross multiply
    9,905.12x = 13,671.27 × 6,548.41
  4. Step 4: Simplify right side
    9,905.12x = 89,524,980.08
  5. Step 5: Solve for x
    x = 89,524,980.08/9,905.12
  6. Step 6: Final answer
    x = 9,038.26

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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.