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Finding the Fourth Proportional to 9,417.81, 14,116.76 and 3,175.64

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Solution

The fourth proportional to 9,417.81, 14,116.76 and 3,175.64 is: 4,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.81 : 14,116.76 = 3,175.64 : x
  2. Step 2: Convert to fraction form
    9,417.81/14,116.76 = 3,175.64/x
  3. Step 3: Cross multiply
    9,417.81x = 14,116.76 × 3,175.64
  4. Step 4: Simplify right side
    9,417.81x = 44,829,747.73
  5. Step 5: Solve for x
    x = 44,829,747.73/9,417.81
  6. Step 6: Final answer
    x = 4,760.10

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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.