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Finding the Fourth Proportional to 9,466.92, 13,054.10 and 6,444

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Solution

The fourth proportional to 9,466.92, 13,054.10 and 6,444 is: 8,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.92 : 13,054.10 = 6,444 : x
  2. Step 2: Convert to fraction form
    9,466.92/13,054.10 = 6,444/x
  3. Step 3: Cross multiply
    9,466.92x = 13,054.10 × 6,444
  4. Step 4: Simplify right side
    9,466.92x = 84,120,588.18
  5. Step 5: Solve for x
    x = 84,120,588.18/9,466.92
  6. Step 6: Final answer
    x = 8,885.74

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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.