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Finding the Fourth Proportional to 9,679.47, 14,513.00 and 4,409.07

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Solution

The fourth proportional to 9,679.47, 14,513.00 and 4,409.07 is: 6,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.47 : 14,513.00 = 4,409.07 : x
  2. Step 2: Convert to fraction form
    9,679.47/14,513.00 = 4,409.07/x
  3. Step 3: Cross multiply
    9,679.47x = 14,513.00 × 4,409.07
  4. Step 4: Simplify right side
    9,679.47x = 63,988,810.86
  5. Step 5: Solve for x
    x = 63,988,810.86/9,679.47
  6. Step 6: Final answer
    x = 6,610.78

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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.