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Finding the Fourth Proportional to 9,486.21, 14,237.07 and 6,715.58

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Solution

The fourth proportional to 9,486.21, 14,237.07 and 6,715.58 is: 10,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.21 : 14,237.07 = 6,715.58 : x
  2. Step 2: Convert to fraction form
    9,486.21/14,237.07 = 6,715.58/x
  3. Step 3: Cross multiply
    9,486.21x = 14,237.07 × 6,715.58
  4. Step 4: Simplify right side
    9,486.21x = 95,610,086.18
  5. Step 5: Solve for x
    x = 95,610,086.18/9,486.21
  6. Step 6: Final answer
    x = 10,078.85

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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.