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Finding the Fourth Proportional to 9,578.62, 14,368.38 and 2,558.80

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Solution

The fourth proportional to 9,578.62, 14,368.38 and 2,558.80 is: 3,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.62 : 14,368.38 = 2,558.80 : x
  2. Step 2: Convert to fraction form
    9,578.62/14,368.38 = 2,558.80/x
  3. Step 3: Cross multiply
    9,578.62x = 14,368.38 × 2,558.80
  4. Step 4: Simplify right side
    9,578.62x = 36,765,810.74
  5. Step 5: Solve for x
    x = 36,765,810.74/9,578.62
  6. Step 6: Final answer
    x = 3,838.32

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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.