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Finding the Fourth Proportional to 9,263.28, 12,783.38 and 5,071.53

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Solution

The fourth proportional to 9,263.28, 12,783.38 and 5,071.53 is: 6,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.28 : 12,783.38 = 5,071.53 : x
  2. Step 2: Convert to fraction form
    9,263.28/12,783.38 = 5,071.53/x
  3. Step 3: Cross multiply
    9,263.28x = 12,783.38 × 5,071.53
  4. Step 4: Simplify right side
    9,263.28x = 64,831,269.81
  5. Step 5: Solve for x
    x = 64,831,269.81/9,263.28
  6. Step 6: Final answer
    x = 6,998.74

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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.