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Finding the Fourth Proportional to 9,561.60, 13,217.04 and 7,980.48

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Solution

The fourth proportional to 9,561.60, 13,217.04 and 7,980.48 is: 11,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.60 : 13,217.04 = 7,980.48 : x
  2. Step 2: Convert to fraction form
    9,561.60/13,217.04 = 7,980.48/x
  3. Step 3: Cross multiply
    9,561.60x = 13,217.04 × 7,980.48
  4. Step 4: Simplify right side
    9,561.60x = 105,478,323.38
  5. Step 5: Solve for x
    x = 105,478,323.38/9,561.60
  6. Step 6: Final answer
    x = 11,031.45

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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.