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Finding the Fourth Proportional to 9,327.76, 12,870.66 and 7,556.32

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Solution

The fourth proportional to 9,327.76, 12,870.66 and 7,556.32 is: 10,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.76 : 12,870.66 = 7,556.32 : x
  2. Step 2: Convert to fraction form
    9,327.76/12,870.66 = 7,556.32/x
  3. Step 3: Cross multiply
    9,327.76x = 12,870.66 × 7,556.32
  4. Step 4: Simplify right side
    9,327.76x = 97,254,825.57
  5. Step 5: Solve for x
    x = 97,254,825.57/9,327.76
  6. Step 6: Final answer
    x = 10,426.39

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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.