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Finding the Fourth Proportional to 9,584.79, 14,356.40 and 4,644.07

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Solution

The fourth proportional to 9,584.79, 14,356.40 and 4,644.07 is: 6,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.79 : 14,356.40 = 4,644.07 : x
  2. Step 2: Convert to fraction form
    9,584.79/14,356.40 = 4,644.07/x
  3. Step 3: Cross multiply
    9,584.79x = 14,356.40 × 4,644.07
  4. Step 4: Simplify right side
    9,584.79x = 66,672,160.66
  5. Step 5: Solve for x
    x = 66,672,160.66/9,584.79
  6. Step 6: Final answer
    x = 6,956.04

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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.