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Finding the Fourth Proportional to 9,520, 13,137.60 and 5,329.06

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Solution

The fourth proportional to 9,520, 13,137.60 and 5,329.06 is: 7,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520 : 13,137.60 = 5,329.06 : x
  2. Step 2: Convert to fraction form
    9,520/13,137.60 = 5,329.06/x
  3. Step 3: Cross multiply
    9,520x = 13,137.60 × 5,329.06
  4. Step 4: Simplify right side
    9,520x = 70,011,058.66
  5. Step 5: Solve for x
    x = 70,011,058.66/9,520
  6. Step 6: Final answer
    x = 7,354.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.