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Finding the Fourth Proportional to 9,578.16, 14,367.21 and 3,004.32

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Solution

The fourth proportional to 9,578.16, 14,367.21 and 3,004.32 is: 4,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.16 : 14,367.21 = 3,004.32 : x
  2. Step 2: Convert to fraction form
    9,578.16/14,367.21 = 3,004.32/x
  3. Step 3: Cross multiply
    9,578.16x = 14,367.21 × 3,004.32
  4. Step 4: Simplify right side
    9,578.16x = 43,163,696.35
  5. Step 5: Solve for x
    x = 43,163,696.35/9,578.16
  6. Step 6: Final answer
    x = 4,506.47

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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.