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Finding the Fourth Proportional to 9,302.46, 12,831.86 and 6,653.76

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Solution

The fourth proportional to 9,302.46, 12,831.86 and 6,653.76 is: 9,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.46 : 12,831.86 = 6,653.76 : x
  2. Step 2: Convert to fraction form
    9,302.46/12,831.86 = 6,653.76/x
  3. Step 3: Cross multiply
    9,302.46x = 12,831.86 × 6,653.76
  4. Step 4: Simplify right side
    9,302.46x = 85,380,116.79
  5. Step 5: Solve for x
    x = 85,380,116.79/9,302.46
  6. Step 6: Final answer
    x = 9,178.23

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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.