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Finding the Fourth Proportional to 9,722.64, 13,417.25 and 5,692.23

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Solution

The fourth proportional to 9,722.64, 13,417.25 and 5,692.23 is: 7,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.64 : 13,417.25 = 5,692.23 : x
  2. Step 2: Convert to fraction form
    9,722.64/13,417.25 = 5,692.23/x
  3. Step 3: Cross multiply
    9,722.64x = 13,417.25 × 5,692.23
  4. Step 4: Simplify right side
    9,722.64x = 76,374,044.51
  5. Step 5: Solve for x
    x = 76,374,044.51/9,722.64
  6. Step 6: Final answer
    x = 7,855.28

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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.