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Finding the Fourth Proportional to 9,504, 13,116.12 and 5,312.64

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Solution

The fourth proportional to 9,504, 13,116.12 and 5,312.64 is: 7,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 13,116.12 = 5,312.64 : x
  2. Step 2: Convert to fraction form
    9,504/13,116.12 = 5,312.64/x
  3. Step 3: Cross multiply
    9,504x = 13,116.12 × 5,312.64
  4. Step 4: Simplify right side
    9,504x = 69,681,223.76
  5. Step 5: Solve for x
    x = 69,681,223.76/9,504
  6. Step 6: Final answer
    x = 7,331.78

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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.