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Finding the Fourth Proportional to 9,646.98, 14,477.76 and 4,104.23

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Solution

The fourth proportional to 9,646.98, 14,477.76 and 4,104.23 is: 6,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.98 : 14,477.76 = 4,104.23 : x
  2. Step 2: Convert to fraction form
    9,646.98/14,477.76 = 4,104.23/x
  3. Step 3: Cross multiply
    9,646.98x = 14,477.76 × 4,104.23
  4. Step 4: Simplify right side
    9,646.98x = 59,419,964.01
  5. Step 5: Solve for x
    x = 59,419,964.01/9,646.98
  6. Step 6: Final answer
    x = 6,159.44

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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.