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Finding the Fourth Proportional to 9,923.78, 14,886 and 4,990.72

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Solution

The fourth proportional to 9,923.78, 14,886 and 4,990.72 is: 7,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.78 : 14,886 = 4,990.72 : x
  2. Step 2: Convert to fraction form
    9,923.78/14,886 = 4,990.72/x
  3. Step 3: Cross multiply
    9,923.78x = 14,886 × 4,990.72
  4. Step 4: Simplify right side
    9,923.78x = 74,291,857.92
  5. Step 5: Solve for x
    x = 74,291,857.92/9,923.78
  6. Step 6: Final answer
    x = 7,486.25

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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.