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Finding the Fourth Proportional to 9,466.68, 13,070.97 and 6,111.45

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Solution

The fourth proportional to 9,466.68, 13,070.97 and 6,111.45 is: 8,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.68 : 13,070.97 = 6,111.45 : x
  2. Step 2: Convert to fraction form
    9,466.68/13,070.97 = 6,111.45/x
  3. Step 3: Cross multiply
    9,466.68x = 13,070.97 × 6,111.45
  4. Step 4: Simplify right side
    9,466.68x = 79,882,579.61
  5. Step 5: Solve for x
    x = 79,882,579.61/9,466.68
  6. Step 6: Final answer
    x = 8,438.29

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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.