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Finding the Fourth Proportional to 9,518.57, 14,272.25 and 4,447.16

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Solution

The fourth proportional to 9,518.57, 14,272.25 and 4,447.16 is: 6,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.57 : 14,272.25 = 4,447.16 : x
  2. Step 2: Convert to fraction form
    9,518.57/14,272.25 = 4,447.16/x
  3. Step 3: Cross multiply
    9,518.57x = 14,272.25 × 4,447.16
  4. Step 4: Simplify right side
    9,518.57x = 63,470,885.71
  5. Step 5: Solve for x
    x = 63,470,885.71/9,518.57
  6. Step 6: Final answer
    x = 6,668.11

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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.