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Finding the Fourth Proportional to 9,343.63, 12,894.21 and 5,152.15

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Solution

The fourth proportional to 9,343.63, 12,894.21 and 5,152.15 is: 7,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.63 : 12,894.21 = 5,152.15 : x
  2. Step 2: Convert to fraction form
    9,343.63/12,894.21 = 5,152.15/x
  3. Step 3: Cross multiply
    9,343.63x = 12,894.21 × 5,152.15
  4. Step 4: Simplify right side
    9,343.63x = 66,432,813.82
  5. Step 5: Solve for x
    x = 66,432,813.82/9,343.63
  6. Step 6: Final answer
    x = 7,109.96

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1.5x scale

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.