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Finding the Fourth Proportional to 9,872, 14,815.28 and 4,677.88

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Solution

The fourth proportional to 9,872, 14,815.28 and 4,677.88 is: 7,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872 : 14,815.28 = 4,677.88 : x
  2. Step 2: Convert to fraction form
    9,872/14,815.28 = 4,677.88/x
  3. Step 3: Cross multiply
    9,872x = 14,815.28 × 4,677.88
  4. Step 4: Simplify right side
    9,872x = 69,304,102.01
  5. Step 5: Solve for x
    x = 69,304,102.01/9,872
  6. Step 6: Final answer
    x = 7,020.27

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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.