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Finding the Fourth Proportional to 9,607.72, 13,253.94 and 6,421.78

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Solution

The fourth proportional to 9,607.72, 13,253.94 and 6,421.78 is: 8,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.72 : 13,253.94 = 6,421.78 : x
  2. Step 2: Convert to fraction form
    9,607.72/13,253.94 = 6,421.78/x
  3. Step 3: Cross multiply
    9,607.72x = 13,253.94 × 6,421.78
  4. Step 4: Simplify right side
    9,607.72x = 85,113,886.81
  5. Step 5: Solve for x
    x = 85,113,886.81/9,607.72
  6. Step 6: Final answer
    x = 8,858.91

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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.