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Finding the Fourth Proportional to 9,707.32, 14,563.86 and 4,157.92

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Solution

The fourth proportional to 9,707.32, 14,563.86 and 4,157.92 is: 6,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.32 : 14,563.86 = 4,157.92 : x
  2. Step 2: Convert to fraction form
    9,707.32/14,563.86 = 4,157.92/x
  3. Step 3: Cross multiply
    9,707.32x = 14,563.86 × 4,157.92
  4. Step 4: Simplify right side
    9,707.32x = 60,555,364.77
  5. Step 5: Solve for x
    x = 60,555,364.77/9,707.32
  6. Step 6: Final answer
    x = 6,238.11

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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.