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Finding the Fourth Proportional to 8,970.34, 13,456.26 and 2,396.50

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Solution

The fourth proportional to 8,970.34, 13,456.26 and 2,396.50 is: 3,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.34 : 13,456.26 = 2,396.50 : x
  2. Step 2: Convert to fraction form
    8,970.34/13,456.26 = 2,396.50/x
  3. Step 3: Cross multiply
    8,970.34x = 13,456.26 × 2,396.50
  4. Step 4: Simplify right side
    8,970.34x = 32,247,927.09
  5. Step 5: Solve for x
    x = 32,247,927.09/8,970.34
  6. Step 6: Final answer
    x = 3,594.95

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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.