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Finding the Fourth Proportional to 9,624.40, 13,290.84 and 9,100.26

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Solution

The fourth proportional to 9,624.40, 13,290.84 and 9,100.26 is: 12,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.40 : 13,290.84 = 9,100.26 : x
  2. Step 2: Convert to fraction form
    9,624.40/13,290.84 = 9,100.26/x
  3. Step 3: Cross multiply
    9,624.40x = 13,290.84 × 9,100.26
  4. Step 4: Simplify right side
    9,624.40x = 120,950,054.12
  5. Step 5: Solve for x
    x = 120,950,054.12/9,624.40
  6. Step 6: Final answer
    x = 12,567.03

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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.