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Finding the Fourth Proportional to 9,263.43, 12,783.74 and 5,071.95

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Solution

The fourth proportional to 9,263.43, 12,783.74 and 5,071.95 is: 6,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.43 : 12,783.74 = 5,071.95 : x
  2. Step 2: Convert to fraction form
    9,263.43/12,783.74 = 5,071.95/x
  3. Step 3: Cross multiply
    9,263.43x = 12,783.74 × 5,071.95
  4. Step 4: Simplify right side
    9,263.43x = 64,838,464.73
  5. Step 5: Solve for x
    x = 64,838,464.73/9,263.43
  6. Step 6: Final answer
    x = 6,999.40

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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.