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Finding the Fourth Proportional to 9,817.49, 14,730.14 and 3,577.92

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Solution

The fourth proportional to 9,817.49, 14,730.14 and 3,577.92 is: 5,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.49 : 14,730.14 = 3,577.92 : x
  2. Step 2: Convert to fraction form
    9,817.49/14,730.14 = 3,577.92/x
  3. Step 3: Cross multiply
    9,817.49x = 14,730.14 × 3,577.92
  4. Step 4: Simplify right side
    9,817.49x = 52,703,262.51
  5. Step 5: Solve for x
    x = 52,703,262.51/9,817.49
  6. Step 6: Final answer
    x = 5,368.30

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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.