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Finding the Fourth Proportional to 9,578.78, 14,368.71 and 3,004.82

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Solution

The fourth proportional to 9,578.78, 14,368.71 and 3,004.82 is: 4,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.78 : 14,368.71 = 3,004.82 : x
  2. Step 2: Convert to fraction form
    9,578.78/14,368.71 = 3,004.82/x
  3. Step 3: Cross multiply
    9,578.78x = 14,368.71 × 3,004.82
  4. Step 4: Simplify right side
    9,578.78x = 43,175,387.18
  5. Step 5: Solve for x
    x = 43,175,387.18/9,578.78
  6. Step 6: Final answer
    x = 4,507.40

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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.