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Finding the Fourth Proportional to 9,727.47, 14,577.40 and 7,497.88

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Solution

The fourth proportional to 9,727.47, 14,577.40 and 7,497.88 is: 11,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.47 : 14,577.40 = 7,497.88 : x
  2. Step 2: Convert to fraction form
    9,727.47/14,577.40 = 7,497.88/x
  3. Step 3: Cross multiply
    9,727.47x = 14,577.40 × 7,497.88
  4. Step 4: Simplify right side
    9,727.47x = 109,299,485.54
  5. Step 5: Solve for x
    x = 109,299,485.54/9,727.47
  6. Step 6: Final answer
    x = 11,236.17

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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.