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Finding the Fourth Proportional to 9,823, 14,714.79 and 4,877.68

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Solution

The fourth proportional to 9,823, 14,714.79 and 4,877.68 is: 7,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 14,714.79 = 4,877.68 : x
  2. Step 2: Convert to fraction form
    9,823/14,714.79 = 4,877.68/x
  3. Step 3: Cross multiply
    9,823x = 14,714.79 × 4,877.68
  4. Step 4: Simplify right side
    9,823x = 71,774,036.89
  5. Step 5: Solve for x
    x = 71,774,036.89/9,823
  6. Step 6: Final answer
    x = 7,306.73

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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.