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Finding the Fourth Proportional to 9,719.18, 13,400.21 and 6,356.67

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Solution

The fourth proportional to 9,719.18, 13,400.21 and 6,356.67 is: 8,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.18 : 13,400.21 = 6,356.67 : x
  2. Step 2: Convert to fraction form
    9,719.18/13,400.21 = 6,356.67/x
  3. Step 3: Cross multiply
    9,719.18x = 13,400.21 × 6,356.67
  4. Step 4: Simplify right side
    9,719.18x = 85,180,698.35
  5. Step 5: Solve for x
    x = 85,180,698.35/9,719.18
  6. Step 6: Final answer
    x = 8,764.18

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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.