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Finding the Fourth Proportional to 9,263.42, 12,783.45 and 5,071.64

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Solution

The fourth proportional to 9,263.42, 12,783.45 and 5,071.64 is: 6,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.42 : 12,783.45 = 5,071.64 : x
  2. Step 2: Convert to fraction form
    9,263.42/12,783.45 = 5,071.64/x
  3. Step 3: Cross multiply
    9,263.42x = 12,783.45 × 5,071.64
  4. Step 4: Simplify right side
    9,263.42x = 64,833,056.36
  5. Step 5: Solve for x
    x = 64,833,056.36/9,263.42
  6. Step 6: Final answer
    x = 6,998.83

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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.