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Finding the Fourth Proportional to 9,343.96, 12,894.15 and 5,807.14

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Solution

The fourth proportional to 9,343.96, 12,894.15 and 5,807.14 is: 8,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.96 : 12,894.15 = 5,807.14 : x
  2. Step 2: Convert to fraction form
    9,343.96/12,894.15 = 5,807.14/x
  3. Step 3: Cross multiply
    9,343.96x = 12,894.15 × 5,807.14
  4. Step 4: Simplify right side
    9,343.96x = 74,878,134.23
  5. Step 5: Solve for x
    x = 74,878,134.23/9,343.96
  6. Step 6: Final answer
    x = 8,013.53

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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.