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Finding the Fourth Proportional to 9,816.25, 14,729.10 and 4,886.32

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Solution

The fourth proportional to 9,816.25, 14,729.10 and 4,886.32 is: 7,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.25 : 14,729.10 = 4,886.32 : x
  2. Step 2: Convert to fraction form
    9,816.25/14,729.10 = 4,886.32/x
  3. Step 3: Cross multiply
    9,816.25x = 14,729.10 × 4,886.32
  4. Step 4: Simplify right side
    9,816.25x = 71,971,095.91
  5. Step 5: Solve for x
    x = 71,971,095.91/9,816.25
  6. Step 6: Final answer
    x = 7,331.83

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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.