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Finding the Fourth Proportional to 9,186.42, 12,683.34 and 7,058.15

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Solution

The fourth proportional to 9,186.42, 12,683.34 and 7,058.15 is: 9,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.42 : 12,683.34 = 7,058.15 : x
  2. Step 2: Convert to fraction form
    9,186.42/12,683.34 = 7,058.15/x
  3. Step 3: Cross multiply
    9,186.42x = 12,683.34 × 7,058.15
  4. Step 4: Simplify right side
    9,186.42x = 89,520,852.80
  5. Step 5: Solve for x
    x = 89,520,852.80/9,186.42
  6. Step 6: Final answer
    x = 9,744.91

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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.