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Finding the Fourth Proportional to 9,832.64, 13,570.80 and 6,295.76

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Solution

The fourth proportional to 9,832.64, 13,570.80 and 6,295.76 is: 8,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.64 : 13,570.80 = 6,295.76 : x
  2. Step 2: Convert to fraction form
    9,832.64/13,570.80 = 6,295.76/x
  3. Step 3: Cross multiply
    9,832.64x = 13,570.80 × 6,295.76
  4. Step 4: Simplify right side
    9,832.64x = 85,438,499.81
  5. Step 5: Solve for x
    x = 85,438,499.81/9,832.64
  6. Step 6: Final answer
    x = 8,689.27

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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.