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Finding the Fourth Proportional to 9,817.18, 13,552.72 and 7,574.02

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Solution

The fourth proportional to 9,817.18, 13,552.72 and 7,574.02 is: 10,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.18 : 13,552.72 = 7,574.02 : x
  2. Step 2: Convert to fraction form
    9,817.18/13,552.72 = 7,574.02/x
  3. Step 3: Cross multiply
    9,817.18x = 13,552.72 × 7,574.02
  4. Step 4: Simplify right side
    9,817.18x = 102,648,572.33
  5. Step 5: Solve for x
    x = 102,648,572.33/9,817.18
  6. Step 6: Final answer
    x = 10,456.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.