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Finding the Fourth Proportional to 9,930.64, 14,896.68 and 3,005.68

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Solution

The fourth proportional to 9,930.64, 14,896.68 and 3,005.68 is: 4,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.64 : 14,896.68 = 3,005.68 : x
  2. Step 2: Convert to fraction form
    9,930.64/14,896.68 = 3,005.68/x
  3. Step 3: Cross multiply
    9,930.64x = 14,896.68 × 3,005.68
  4. Step 4: Simplify right side
    9,930.64x = 44,774,653.14
  5. Step 5: Solve for x
    x = 44,774,653.14/9,930.64
  6. Step 6: Final answer
    x = 4,508.74

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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.