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Finding the Fourth Proportional to 9,568.64, 14,330.28 and 6,095.36

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Solution

The fourth proportional to 9,568.64, 14,330.28 and 6,095.36 is: 9,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.64 : 14,330.28 = 6,095.36 : x
  2. Step 2: Convert to fraction form
    9,568.64/14,330.28 = 6,095.36/x
  3. Step 3: Cross multiply
    9,568.64x = 14,330.28 × 6,095.36
  4. Step 4: Simplify right side
    9,568.64x = 87,348,215.50
  5. Step 5: Solve for x
    x = 87,348,215.50/9,568.64
  6. Step 6: Final answer
    x = 9,128.59

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Why These Related Problems?

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