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Finding the Fourth Proportional to 9,626.47, 14,460.18 and 9,064.69

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Solution

The fourth proportional to 9,626.47, 14,460.18 and 9,064.69 is: 13,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.47 : 14,460.18 = 9,064.69 : x
  2. Step 2: Convert to fraction form
    9,626.47/14,460.18 = 9,064.69/x
  3. Step 3: Cross multiply
    9,626.47x = 14,460.18 × 9,064.69
  4. Step 4: Simplify right side
    9,626.47x = 131,077,049.04
  5. Step 5: Solve for x
    x = 131,077,049.04/9,626.47
  6. Step 6: Final answer
    x = 13,616.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.