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Finding the Fourth Proportional to 9,576.16, 14,354 and 6,831.84

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Solution

The fourth proportional to 9,576.16, 14,354 and 6,831.84 is: 10,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.16 : 14,354 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    9,576.16/14,354 = 6,831.84/x
  3. Step 3: Cross multiply
    9,576.16x = 14,354 × 6,831.84
  4. Step 4: Simplify right side
    9,576.16x = 98,064,231.36
  5. Step 5: Solve for x
    x = 98,064,231.36/9,576.16
  6. Step 6: Final answer
    x = 10,240.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.