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Finding the Fourth Proportional to 9,378.32, 12,941.93 and 5,186.57

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Solution

The fourth proportional to 9,378.32, 12,941.93 and 5,186.57 is: 7,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.32 : 12,941.93 = 5,186.57 : x
  2. Step 2: Convert to fraction form
    9,378.32/12,941.93 = 5,186.57/x
  3. Step 3: Cross multiply
    9,378.32x = 12,941.93 × 5,186.57
  4. Step 4: Simplify right side
    9,378.32x = 67,124,199.95
  5. Step 5: Solve for x
    x = 67,124,199.95/9,378.32
  6. Step 6: Final answer
    x = 7,157.38

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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.