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Finding the Fourth Proportional to 9,084.86, 12,537.14 and 5,106

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Solution

The fourth proportional to 9,084.86, 12,537.14 and 5,106 is: 7,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.86 : 12,537.14 = 5,106 : x
  2. Step 2: Convert to fraction form
    9,084.86/12,537.14 = 5,106/x
  3. Step 3: Cross multiply
    9,084.86x = 12,537.14 × 5,106
  4. Step 4: Simplify right side
    9,084.86x = 64,014,636.84
  5. Step 5: Solve for x
    x = 64,014,636.84/9,084.86
  6. Step 6: Final answer
    x = 7,046.30

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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.