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Finding the Fourth Proportional to 9,578.36, 14,371.86 and 4,385.72

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Solution

The fourth proportional to 9,578.36, 14,371.86 and 4,385.72 is: 6,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.36 : 14,371.86 = 4,385.72 : x
  2. Step 2: Convert to fraction form
    9,578.36/14,371.86 = 4,385.72/x
  3. Step 3: Cross multiply
    9,578.36x = 14,371.86 × 4,385.72
  4. Step 4: Simplify right side
    9,578.36x = 63,030,953.84
  5. Step 5: Solve for x
    x = 63,030,953.84/9,578.36
  6. Step 6: Final answer
    x = 6,580.56

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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.