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Finding the Fourth Proportional to 9,810.25, 14,715.38 and 2,514.25

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Solution

The fourth proportional to 9,810.25, 14,715.38 and 2,514.25 is: 3,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.25 : 14,715.38 = 2,514.25 : x
  2. Step 2: Convert to fraction form
    9,810.25/14,715.38 = 2,514.25/x
  3. Step 3: Cross multiply
    9,810.25x = 14,715.38 × 2,514.25
  4. Step 4: Simplify right side
    9,810.25x = 36,998,144.17
  5. Step 5: Solve for x
    x = 36,998,144.17/9,810.25
  6. Step 6: Final answer
    x = 3,771.38

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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.