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Finding the Fourth Proportional to 9,386.61, 14,096.02 and 8,334.80

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Solution

The fourth proportional to 9,386.61, 14,096.02 and 8,334.80 is: 12,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.61 : 14,096.02 = 8,334.80 : x
  2. Step 2: Convert to fraction form
    9,386.61/14,096.02 = 8,334.80/x
  3. Step 3: Cross multiply
    9,386.61x = 14,096.02 × 8,334.80
  4. Step 4: Simplify right side
    9,386.61x = 117,487,507.50
  5. Step 5: Solve for x
    x = 117,487,507.50/9,386.61
  6. Step 6: Final answer
    x = 12,516.50

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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.