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Finding the Fourth Proportional to 9,211.16, 13,823.70 and 7,384.34

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Solution

The fourth proportional to 9,211.16, 13,823.70 and 7,384.34 is: 11,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.16 : 13,823.70 = 7,384.34 : x
  2. Step 2: Convert to fraction form
    9,211.16/13,823.70 = 7,384.34/x
  3. Step 3: Cross multiply
    9,211.16x = 13,823.70 × 7,384.34
  4. Step 4: Simplify right side
    9,211.16x = 102,078,831.74
  5. Step 5: Solve for x
    x = 102,078,831.74/9,211.16
  6. Step 6: Final answer
    x = 11,082.09

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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.