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Finding the Fourth Proportional to 10,296.92, 15,464.10 and 9,879.32

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Solution

The fourth proportional to 10,296.92, 15,464.10 and 9,879.32 is: 14,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.92 : 15,464.10 = 9,879.32 : x
  2. Step 2: Convert to fraction form
    10,296.92/15,464.10 = 9,879.32/x
  3. Step 3: Cross multiply
    10,296.92x = 15,464.10 × 9,879.32
  4. Step 4: Simplify right side
    10,296.92x = 152,774,792.41
  5. Step 5: Solve for x
    x = 152,774,792.41/10,296.92
  6. Step 6: Final answer
    x = 14,836.94

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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.