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Finding the Fourth Proportional to 9,607.72, 13,253.92 and 6,421.80

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Solution

The fourth proportional to 9,607.72, 13,253.92 and 6,421.80 is: 8,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.72 : 13,253.92 = 6,421.80 : x
  2. Step 2: Convert to fraction form
    9,607.72/13,253.92 = 6,421.80/x
  3. Step 3: Cross multiply
    9,607.72x = 13,253.92 × 6,421.80
  4. Step 4: Simplify right side
    9,607.72x = 85,114,023.46
  5. Step 5: Solve for x
    x = 85,114,023.46/9,607.72
  6. Step 6: Final answer
    x = 8,858.92

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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.