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Finding the Fourth Proportional to 9,855.94, 13,603.54 and 5,666.62

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Solution

The fourth proportional to 9,855.94, 13,603.54 and 5,666.62 is: 7,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.94 : 13,603.54 = 5,666.62 : x
  2. Step 2: Convert to fraction form
    9,855.94/13,603.54 = 5,666.62/x
  3. Step 3: Cross multiply
    9,855.94x = 13,603.54 × 5,666.62
  4. Step 4: Simplify right side
    9,855.94x = 77,086,091.83
  5. Step 5: Solve for x
    x = 77,086,091.83/9,855.94
  6. Step 6: Final answer
    x = 7,821.28

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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.