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Finding the Fourth Proportional to 9,407.74, 12,982.14 and 5,157.98

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Solution

The fourth proportional to 9,407.74, 12,982.14 and 5,157.98 is: 7,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.74 : 12,982.14 = 5,157.98 : x
  2. Step 2: Convert to fraction form
    9,407.74/12,982.14 = 5,157.98/x
  3. Step 3: Cross multiply
    9,407.74x = 12,982.14 × 5,157.98
  4. Step 4: Simplify right side
    9,407.74x = 66,961,618.48
  5. Step 5: Solve for x
    x = 66,961,618.48/9,407.74
  6. Step 6: Final answer
    x = 7,117.72

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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.