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Finding the Fourth Proportional to 9,680.18, 14,507.51 and 7,484.67

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Solution

The fourth proportional to 9,680.18, 14,507.51 and 7,484.67 is: 11,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.18 : 14,507.51 = 7,484.67 : x
  2. Step 2: Convert to fraction form
    9,680.18/14,507.51 = 7,484.67/x
  3. Step 3: Cross multiply
    9,680.18x = 14,507.51 × 7,484.67
  4. Step 4: Simplify right side
    9,680.18x = 108,583,887.45
  5. Step 5: Solve for x
    x = 108,583,887.45/9,680.18
  6. Step 6: Final answer
    x = 11,217.14

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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.