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Finding the Fourth Proportional to 9,709.18, 14,564.71 and 3,864.42

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Solution

The fourth proportional to 9,709.18, 14,564.71 and 3,864.42 is: 5,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.18 : 14,564.71 = 3,864.42 : x
  2. Step 2: Convert to fraction form
    9,709.18/14,564.71 = 3,864.42/x
  3. Step 3: Cross multiply
    9,709.18x = 14,564.71 × 3,864.42
  4. Step 4: Simplify right side
    9,709.18x = 56,284,156.62
  5. Step 5: Solve for x
    x = 56,284,156.62/9,709.18
  6. Step 6: Final answer
    x = 5,797.00

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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.