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Finding the Fourth Proportional to 9,832.41, 14,725.52 and 8,549.58

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Solution

The fourth proportional to 9,832.41, 14,725.52 and 8,549.58 is: 12,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.41 : 14,725.52 = 8,549.58 : x
  2. Step 2: Convert to fraction form
    9,832.41/14,725.52 = 8,549.58/x
  3. Step 3: Cross multiply
    9,832.41x = 14,725.52 × 8,549.58
  4. Step 4: Simplify right side
    9,832.41x = 125,896,955.61
  5. Step 5: Solve for x
    x = 125,896,955.61/9,832.41
  6. Step 6: Final answer
    x = 12,804.28

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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.