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Finding the Fourth Proportional to 8,970.87, 12,378.49 and 5,385.07

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Solution

The fourth proportional to 8,970.87, 12,378.49 and 5,385.07 is: 7,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.87 : 12,378.49 = 5,385.07 : x
  2. Step 2: Convert to fraction form
    8,970.87/12,378.49 = 5,385.07/x
  3. Step 3: Cross multiply
    8,970.87x = 12,378.49 × 5,385.07
  4. Step 4: Simplify right side
    8,970.87x = 66,659,057.35
  5. Step 5: Solve for x
    x = 66,659,057.35/8,970.87
  6. Step 6: Final answer
    x = 7,430.61

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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.