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Finding the Fourth Proportional to 9,384.57, 14,089.28 and 8,611.02

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Solution

The fourth proportional to 9,384.57, 14,089.28 and 8,611.02 is: 12,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.57 : 14,089.28 = 8,611.02 : x
  2. Step 2: Convert to fraction form
    9,384.57/14,089.28 = 8,611.02/x
  3. Step 3: Cross multiply
    9,384.57x = 14,089.28 × 8,611.02
  4. Step 4: Simplify right side
    9,384.57x = 121,323,028.81
  5. Step 5: Solve for x
    x = 121,323,028.81/9,384.57
  6. Step 6: Final answer
    x = 12,927.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.