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Finding the Fourth Proportional to 9,586.40, 14,381.04 and 4,392.80

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Solution

The fourth proportional to 9,586.40, 14,381.04 and 4,392.80 is: 6,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.40 : 14,381.04 = 4,392.80 : x
  2. Step 2: Convert to fraction form
    9,586.40/14,381.04 = 4,392.80/x
  3. Step 3: Cross multiply
    9,586.40x = 14,381.04 × 4,392.80
  4. Step 4: Simplify right side
    9,586.40x = 63,173,032.51
  5. Step 5: Solve for x
    x = 63,173,032.51/9,586.40
  6. Step 6: Final answer
    x = 6,589.86

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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.