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Finding the Fourth Proportional to 9,804.67, 14,702.14 and 4,181.46

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Solution

The fourth proportional to 9,804.67, 14,702.14 and 4,181.46 is: 6,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.67 : 14,702.14 = 4,181.46 : x
  2. Step 2: Convert to fraction form
    9,804.67/14,702.14 = 4,181.46/x
  3. Step 3: Cross multiply
    9,804.67x = 14,702.14 × 4,181.46
  4. Step 4: Simplify right side
    9,804.67x = 61,476,420.24
  5. Step 5: Solve for x
    x = 61,476,420.24/9,804.67
  6. Step 6: Final answer
    x = 6,270.12

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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.