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Finding the Fourth Proportional to 9,458.78, 14,196.93 and 4,782.09

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Solution

The fourth proportional to 9,458.78, 14,196.93 and 4,782.09 is: 7,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.78 : 14,196.93 = 4,782.09 : x
  2. Step 2: Convert to fraction form
    9,458.78/14,196.93 = 4,782.09/x
  3. Step 3: Cross multiply
    9,458.78x = 14,196.93 × 4,782.09
  4. Step 4: Simplify right side
    9,458.78x = 67,890,973.07
  5. Step 5: Solve for x
    x = 67,890,973.07/9,458.78
  6. Step 6: Final answer
    x = 7,177.56

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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.