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Finding the Fourth Proportional to 9,584.64, 14,376.94 and 4,313.48

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Solution

The fourth proportional to 9,584.64, 14,376.94 and 4,313.48 is: 6,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.64 : 14,376.94 = 4,313.48 : x
  2. Step 2: Convert to fraction form
    9,584.64/14,376.94 = 4,313.48/x
  3. Step 3: Cross multiply
    9,584.64x = 14,376.94 × 4,313.48
  4. Step 4: Simplify right side
    9,584.64x = 62,014,643.15
  5. Step 5: Solve for x
    x = 62,014,643.15/9,584.64
  6. Step 6: Final answer
    x = 6,470.21

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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.