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Finding the Fourth Proportional to 9,578.00, 14,354.51 and 4,894.07

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Solution

The fourth proportional to 9,578.00, 14,354.51 and 4,894.07 is: 7,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.00 : 14,354.51 = 4,894.07 : x
  2. Step 2: Convert to fraction form
    9,578.00/14,354.51 = 4,894.07/x
  3. Step 3: Cross multiply
    9,578.00x = 14,354.51 × 4,894.07
  4. Step 4: Simplify right side
    9,578.00x = 70,251,917.22
  5. Step 5: Solve for x
    x = 70,251,917.22/9,578.00
  6. Step 6: Final answer
    x = 7,334.71

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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.