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Finding the Fourth Proportional to 9,084.25, 12,537.30 and 5,051.48

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Solution

The fourth proportional to 9,084.25, 12,537.30 and 5,051.48 is: 6,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.25 : 12,537.30 = 5,051.48 : x
  2. Step 2: Convert to fraction form
    9,084.25/12,537.30 = 5,051.48/x
  3. Step 3: Cross multiply
    9,084.25x = 12,537.30 × 5,051.48
  4. Step 4: Simplify right side
    9,084.25x = 63,331,917.16
  5. Step 5: Solve for x
    x = 63,331,917.16/9,084.25
  6. Step 6: Final answer
    x = 6,971.62

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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.