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Finding the Fourth Proportional to 9,560.76, 13,192.38 and 5,368.20

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Solution

The fourth proportional to 9,560.76, 13,192.38 and 5,368.20 is: 7,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.76 : 13,192.38 = 5,368.20 : x
  2. Step 2: Convert to fraction form
    9,560.76/13,192.38 = 5,368.20/x
  3. Step 3: Cross multiply
    9,560.76x = 13,192.38 × 5,368.20
  4. Step 4: Simplify right side
    9,560.76x = 70,819,334.32
  5. Step 5: Solve for x
    x = 70,819,334.32/9,560.76
  6. Step 6: Final answer
    x = 7,407.29

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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.