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Finding the Fourth Proportional to 9,932.58, 14,890.68 and 4,664.88

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Solution

The fourth proportional to 9,932.58, 14,890.68 and 4,664.88 is: 6,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.58 : 14,890.68 = 4,664.88 : x
  2. Step 2: Convert to fraction form
    9,932.58/14,890.68 = 4,664.88/x
  3. Step 3: Cross multiply
    9,932.58x = 14,890.68 × 4,664.88
  4. Step 4: Simplify right side
    9,932.58x = 69,463,235.32
  5. Step 5: Solve for x
    x = 69,463,235.32/9,932.58
  6. Step 6: Final answer
    x = 6,993.47

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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.