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Finding the Fourth Proportional to 9,312.79, 12,851.32 and 5,121.01

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Solution

The fourth proportional to 9,312.79, 12,851.32 and 5,121.01 is: 7,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.79 : 12,851.32 = 5,121.01 : x
  2. Step 2: Convert to fraction form
    9,312.79/12,851.32 = 5,121.01/x
  3. Step 3: Cross multiply
    9,312.79x = 12,851.32 × 5,121.01
  4. Step 4: Simplify right side
    9,312.79x = 65,811,738.23
  5. Step 5: Solve for x
    x = 65,811,738.23/9,312.79
  6. Step 6: Final answer
    x = 7,066.81

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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.