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Finding the Fourth Proportional to 9,138.14, 13,702.89 and 4,206.32

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Solution

The fourth proportional to 9,138.14, 13,702.89 and 4,206.32 is: 6,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.14 : 13,702.89 = 4,206.32 : x
  2. Step 2: Convert to fraction form
    9,138.14/13,702.89 = 4,206.32/x
  3. Step 3: Cross multiply
    9,138.14x = 13,702.89 × 4,206.32
  4. Step 4: Simplify right side
    9,138.14x = 57,638,719.23
  5. Step 5: Solve for x
    x = 57,638,719.23/9,138.14
  6. Step 6: Final answer
    x = 6,307.49

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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.