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Finding the Fourth Proportional to 9,643.14, 13,302.75 and 7,514.86

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Solution

The fourth proportional to 9,643.14, 13,302.75 and 7,514.86 is: 10,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.14 : 13,302.75 = 7,514.86 : x
  2. Step 2: Convert to fraction form
    9,643.14/13,302.75 = 7,514.86/x
  3. Step 3: Cross multiply
    9,643.14x = 13,302.75 × 7,514.86
  4. Step 4: Simplify right side
    9,643.14x = 99,968,303.87
  5. Step 5: Solve for x
    x = 99,968,303.87/9,643.14
  6. Step 6: Final answer
    x = 10,366.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.