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Finding the Fourth Proportional to 9,512.65, 14,200.23 and 8,346.25

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Solution

The fourth proportional to 9,512.65, 14,200.23 and 8,346.25 is: 12,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.65 : 14,200.23 = 8,346.25 : x
  2. Step 2: Convert to fraction form
    9,512.65/14,200.23 = 8,346.25/x
  3. Step 3: Cross multiply
    9,512.65x = 14,200.23 × 8,346.25
  4. Step 4: Simplify right side
    9,512.65x = 118,518,669.64
  5. Step 5: Solve for x
    x = 118,518,669.64/9,512.65
  6. Step 6: Final answer
    x = 12,459.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.