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Finding the Fourth Proportional to 9,333.34, 14,004.87 and 4,138

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Solution

The fourth proportional to 9,333.34, 14,004.87 and 4,138 is: 6,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.34 : 14,004.87 = 4,138 : x
  2. Step 2: Convert to fraction form
    9,333.34/14,004.87 = 4,138/x
  3. Step 3: Cross multiply
    9,333.34x = 14,004.87 × 4,138
  4. Step 4: Simplify right side
    9,333.34x = 57,952,152.06
  5. Step 5: Solve for x
    x = 57,952,152.06/9,333.34
  6. Step 6: Final answer
    x = 6,209.15

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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.