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Finding the Fourth Proportional to 9,263.17, 12,783.18 and 5,071.42

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Solution

The fourth proportional to 9,263.17, 12,783.18 and 5,071.42 is: 6,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.17 : 12,783.18 = 5,071.42 : x
  2. Step 2: Convert to fraction form
    9,263.17/12,783.18 = 5,071.42/x
  3. Step 3: Cross multiply
    9,263.17x = 12,783.18 × 5,071.42
  4. Step 4: Simplify right side
    9,263.17x = 64,828,874.72
  5. Step 5: Solve for x
    x = 64,828,874.72/9,263.17
  6. Step 6: Final answer
    x = 6,998.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.