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Finding the Fourth Proportional to 9,184.28, 12,680.39 and 7,056

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Solution

The fourth proportional to 9,184.28, 12,680.39 and 7,056 is: 9,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.28 : 12,680.39 = 7,056 : x
  2. Step 2: Convert to fraction form
    9,184.28/12,680.39 = 7,056/x
  3. Step 3: Cross multiply
    9,184.28x = 12,680.39 × 7,056
  4. Step 4: Simplify right side
    9,184.28x = 89,472,831.84
  5. Step 5: Solve for x
    x = 89,472,831.84/9,184.28
  6. Step 6: Final answer
    x = 9,741.95

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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.