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Finding the Fourth Proportional to 9,461.34, 14,199.30 and 7,616.97

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Solution

The fourth proportional to 9,461.34, 14,199.30 and 7,616.97 is: 11,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.34 : 14,199.30 = 7,616.97 : x
  2. Step 2: Convert to fraction form
    9,461.34/14,199.30 = 7,616.97/x
  3. Step 3: Cross multiply
    9,461.34x = 14,199.30 × 7,616.97
  4. Step 4: Simplify right side
    9,461.34x = 108,155,642.12
  5. Step 5: Solve for x
    x = 108,155,642.12/9,461.34
  6. Step 6: Final answer
    x = 11,431.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.