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Finding the Fourth Proportional to 9,756.14, 14,692.22 and 9,100.04

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Solution

The fourth proportional to 9,756.14, 14,692.22 and 9,100.04 is: 13,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.14 : 14,692.22 = 9,100.04 : x
  2. Step 2: Convert to fraction form
    9,756.14/14,692.22 = 9,100.04/x
  3. Step 3: Cross multiply
    9,756.14x = 14,692.22 × 9,100.04
  4. Step 4: Simplify right side
    9,756.14x = 133,699,670.73
  5. Step 5: Solve for x
    x = 133,699,670.73/9,756.14
  6. Step 6: Final answer
    x = 13,704.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.