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Finding the Fourth Proportional to 9,096.66, 12,556.70 and 5,741.66

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Solution

The fourth proportional to 9,096.66, 12,556.70 and 5,741.66 is: 7,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.66 : 12,556.70 = 5,741.66 : x
  2. Step 2: Convert to fraction form
    9,096.66/12,556.70 = 5,741.66/x
  3. Step 3: Cross multiply
    9,096.66x = 12,556.70 × 5,741.66
  4. Step 4: Simplify right side
    9,096.66x = 72,096,210.63
  5. Step 5: Solve for x
    x = 72,096,210.63/9,096.66
  6. Step 6: Final answer
    x = 7,925.57

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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.