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Finding the Fourth Proportional to 9,649.30, 14,498.25 and 6,140.89

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Solution

The fourth proportional to 9,649.30, 14,498.25 and 6,140.89 is: 9,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.30 : 14,498.25 = 6,140.89 : x
  2. Step 2: Convert to fraction form
    9,649.30/14,498.25 = 6,140.89/x
  3. Step 3: Cross multiply
    9,649.30x = 14,498.25 × 6,140.89
  4. Step 4: Simplify right side
    9,649.30x = 89,032,158.44
  5. Step 5: Solve for x
    x = 89,032,158.44/9,649.30
  6. Step 6: Final answer
    x = 9,226.80

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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.