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Finding the Fourth Proportional to 9,378, 12,941.64 and 6,066

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Solution

The fourth proportional to 9,378, 12,941.64 and 6,066 is: 8,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 12,941.64 = 6,066 : x
  2. Step 2: Convert to fraction form
    9,378/12,941.64 = 6,066/x
  3. Step 3: Cross multiply
    9,378x = 12,941.64 × 6,066
  4. Step 4: Simplify right side
    9,378x = 78,503,988.24
  5. Step 5: Solve for x
    x = 78,503,988.24/9,378
  6. Step 6: Final answer
    x = 8,371.08

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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.