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Finding the Fourth Proportional to 9,670.19, 14,511.77 and 3,514.19

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Solution

The fourth proportional to 9,670.19, 14,511.77 and 3,514.19 is: 5,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.19 : 14,511.77 = 3,514.19 : x
  2. Step 2: Convert to fraction form
    9,670.19/14,511.77 = 3,514.19/x
  3. Step 3: Cross multiply
    9,670.19x = 14,511.77 × 3,514.19
  4. Step 4: Simplify right side
    9,670.19x = 50,997,117.02
  5. Step 5: Solve for x
    x = 50,997,117.02/9,670.19
  6. Step 6: Final answer
    x = 5,273.64

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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.