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Finding the Fourth Proportional to 10,415.86, 14,373.83 and 9,568.63

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Solution

The fourth proportional to 10,415.86, 14,373.83 and 9,568.63 is: 13,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.86 : 14,373.83 = 9,568.63 : x
  2. Step 2: Convert to fraction form
    10,415.86/14,373.83 = 9,568.63/x
  3. Step 3: Cross multiply
    10,415.86x = 14,373.83 × 9,568.63
  4. Step 4: Simplify right side
    10,415.86x = 137,537,789.08
  5. Step 5: Solve for x
    x = 137,537,789.08/10,415.86
  6. Step 6: Final answer
    x = 13,204.65

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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.