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Finding the Fourth Proportional to 9,657.54, 14,486.24 and 6,346.67

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Solution

The fourth proportional to 9,657.54, 14,486.24 and 6,346.67 is: 9,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.54 : 14,486.24 = 6,346.67 : x
  2. Step 2: Convert to fraction form
    9,657.54/14,486.24 = 6,346.67/x
  3. Step 3: Cross multiply
    9,657.54x = 14,486.24 × 6,346.67
  4. Step 4: Simplify right side
    9,657.54x = 91,939,328.26
  5. Step 5: Solve for x
    x = 91,939,328.26/9,657.54
  6. Step 6: Final answer
    x = 9,519.95

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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.