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Finding the Fourth Proportional to 9,366.84, 14,040.54 and 4,989.60

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Solution

The fourth proportional to 9,366.84, 14,040.54 and 4,989.60 is: 7,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.84 : 14,040.54 = 4,989.60 : x
  2. Step 2: Convert to fraction form
    9,366.84/14,040.54 = 4,989.60/x
  3. Step 3: Cross multiply
    9,366.84x = 14,040.54 × 4,989.60
  4. Step 4: Simplify right side
    9,366.84x = 70,056,678.38
  5. Step 5: Solve for x
    x = 70,056,678.38/9,366.84
  6. Step 6: Final answer
    x = 7,479.22

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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.