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Finding the Fourth Proportional to 9,584.58, 14,372 and 4,386

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Solution

The fourth proportional to 9,584.58, 14,372 and 4,386 is: 6,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.58 : 14,372 = 4,386 : x
  2. Step 2: Convert to fraction form
    9,584.58/14,372 = 4,386/x
  3. Step 3: Cross multiply
    9,584.58x = 14,372 × 4,386
  4. Step 4: Simplify right side
    9,584.58x = 63,035,592
  5. Step 5: Solve for x
    x = 63,035,592/9,584.58
  6. Step 6: Final answer
    x = 6,576.77

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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.