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Finding the Fourth Proportional to 9,132.30, 13,698.45 and 5,237.10

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Solution

The fourth proportional to 9,132.30, 13,698.45 and 5,237.10 is: 7,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.30 : 13,698.45 = 5,237.10 : x
  2. Step 2: Convert to fraction form
    9,132.30/13,698.45 = 5,237.10/x
  3. Step 3: Cross multiply
    9,132.30x = 13,698.45 × 5,237.10
  4. Step 4: Simplify right side
    9,132.30x = 71,740,152.50
  5. Step 5: Solve for x
    x = 71,740,152.50/9,132.30
  6. Step 6: Final answer
    x = 7,855.65

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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.