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Finding the Fourth Proportional to 9,910.02, 14,854.95 and 6,214.82

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Solution

The fourth proportional to 9,910.02, 14,854.95 and 6,214.82 is: 9,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.02 : 14,854.95 = 6,214.82 : x
  2. Step 2: Convert to fraction form
    9,910.02/14,854.95 = 6,214.82/x
  3. Step 3: Cross multiply
    9,910.02x = 14,854.95 × 6,214.82
  4. Step 4: Simplify right side
    9,910.02x = 92,320,840.36
  5. Step 5: Solve for x
    x = 92,320,840.36/9,910.02
  6. Step 6: Final answer
    x = 9,315.91

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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.