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Finding the Fourth Proportional to 9,849.65, 13,594.28 and 5,871.02

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Solution

The fourth proportional to 9,849.65, 13,594.28 and 5,871.02 is: 8,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.65 : 13,594.28 = 5,871.02 : x
  2. Step 2: Convert to fraction form
    9,849.65/13,594.28 = 5,871.02/x
  3. Step 3: Cross multiply
    9,849.65x = 13,594.28 × 5,871.02
  4. Step 4: Simplify right side
    9,849.65x = 79,812,289.77
  5. Step 5: Solve for x
    x = 79,812,289.77/9,849.65
  6. Step 6: Final answer
    x = 8,103.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.