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Finding the Fourth Proportional to 9,858.08, 13,603.50 and 5,666

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Solution

The fourth proportional to 9,858.08, 13,603.50 and 5,666 is: 7,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.08 : 13,603.50 = 5,666 : x
  2. Step 2: Convert to fraction form
    9,858.08/13,603.50 = 5,666/x
  3. Step 3: Cross multiply
    9,858.08x = 13,603.50 × 5,666
  4. Step 4: Simplify right side
    9,858.08x = 77,077,431
  5. Step 5: Solve for x
    x = 77,077,431/9,858.08
  6. Step 6: Final answer
    x = 7,818.71

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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.