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Finding the Fourth Proportional to 9,830.94, 14,635.22 and 9,772.58

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Solution

The fourth proportional to 9,830.94, 14,635.22 and 9,772.58 is: 14,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.94 : 14,635.22 = 9,772.58 : x
  2. Step 2: Convert to fraction form
    9,830.94/14,635.22 = 9,772.58/x
  3. Step 3: Cross multiply
    9,830.94x = 14,635.22 × 9,772.58
  4. Step 4: Simplify right side
    9,830.94x = 143,023,858.27
  5. Step 5: Solve for x
    x = 143,023,858.27/9,830.94
  6. Step 6: Final answer
    x = 14,548.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.