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Finding the Fourth Proportional to 9,673.31, 14,506.09 and 4,129.13

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Solution

The fourth proportional to 9,673.31, 14,506.09 and 4,129.13 is: 6,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.31 : 14,506.09 = 4,129.13 : x
  2. Step 2: Convert to fraction form
    9,673.31/14,506.09 = 4,129.13/x
  3. Step 3: Cross multiply
    9,673.31x = 14,506.09 × 4,129.13
  4. Step 4: Simplify right side
    9,673.31x = 59,897,531.40
  5. Step 5: Solve for x
    x = 59,897,531.40/9,673.31
  6. Step 6: Final answer
    x = 6,192.04

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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.