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Finding the Fourth Proportional to 9,724.35, 13,420.37 and 8,970.44

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Solution

The fourth proportional to 9,724.35, 13,420.37 and 8,970.44 is: 12,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.35 : 13,420.37 = 8,970.44 : x
  2. Step 2: Convert to fraction form
    9,724.35/13,420.37 = 8,970.44/x
  3. Step 3: Cross multiply
    9,724.35x = 13,420.37 × 8,970.44
  4. Step 4: Simplify right side
    9,724.35x = 120,386,579.01
  5. Step 5: Solve for x
    x = 120,386,579.01/9,724.35
  6. Step 6: Final answer
    x = 12,379.91

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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.