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Finding the Fourth Proportional to 9,703, 14,551.62 and 6,581.08

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Solution

The fourth proportional to 9,703, 14,551.62 and 6,581.08 is: 9,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703 : 14,551.62 = 6,581.08 : x
  2. Step 2: Convert to fraction form
    9,703/14,551.62 = 6,581.08/x
  3. Step 3: Cross multiply
    9,703x = 14,551.62 × 6,581.08
  4. Step 4: Simplify right side
    9,703x = 95,765,375.35
  5. Step 5: Solve for x
    x = 95,765,375.35/9,703
  6. Step 6: Final answer
    x = 9,869.67

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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.