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Finding the Fourth Proportional to 9,071.12, 13,602.28 and 3,449.77

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Solution

The fourth proportional to 9,071.12, 13,602.28 and 3,449.77 is: 5,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.12 : 13,602.28 = 3,449.77 : x
  2. Step 2: Convert to fraction form
    9,071.12/13,602.28 = 3,449.77/x
  3. Step 3: Cross multiply
    9,071.12x = 13,602.28 × 3,449.77
  4. Step 4: Simplify right side
    9,071.12x = 46,924,777.83
  5. Step 5: Solve for x
    x = 46,924,777.83/9,071.12
  6. Step 6: Final answer
    x = 5,172.98

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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.