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Finding the Fourth Proportional to 9,384.92, 14,057.50 and 6,088.20

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Solution

The fourth proportional to 9,384.92, 14,057.50 and 6,088.20 is: 9,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.92 : 14,057.50 = 6,088.20 : x
  2. Step 2: Convert to fraction form
    9,384.92/14,057.50 = 6,088.20/x
  3. Step 3: Cross multiply
    9,384.92x = 14,057.50 × 6,088.20
  4. Step 4: Simplify right side
    9,384.92x = 85,584,871.50
  5. Step 5: Solve for x
    x = 85,584,871.50/9,384.92
  6. Step 6: Final answer
    x = 9,119.40

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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.