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Finding the Fourth Proportional to 9,626.40, 13,184.74 and 9,058.89

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Solution

The fourth proportional to 9,626.40, 13,184.74 and 9,058.89 is: 12,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.40 : 13,184.74 = 9,058.89 : x
  2. Step 2: Convert to fraction form
    9,626.40/13,184.74 = 9,058.89/x
  3. Step 3: Cross multiply
    9,626.40x = 13,184.74 × 9,058.89
  4. Step 4: Simplify right side
    9,626.40x = 119,439,119.15
  5. Step 5: Solve for x
    x = 119,439,119.15/9,626.40
  6. Step 6: Final answer
    x = 12,407.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.