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Finding the Fourth Proportional to 9,084.88, 12,537.03 and 5,051.71

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Solution

The fourth proportional to 9,084.88, 12,537.03 and 5,051.71 is: 6,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.88 : 12,537.03 = 5,051.71 : x
  2. Step 2: Convert to fraction form
    9,084.88/12,537.03 = 5,051.71/x
  3. Step 3: Cross multiply
    9,084.88x = 12,537.03 × 5,051.71
  4. Step 4: Simplify right side
    9,084.88x = 63,333,439.82
  5. Step 5: Solve for x
    x = 63,333,439.82/9,084.88
  6. Step 6: Final answer
    x = 6,971.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.