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Finding the Fourth Proportional to 9,707.42, 14,551.03 and 6,587.68

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Solution

The fourth proportional to 9,707.42, 14,551.03 and 6,587.68 is: 9,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.42 : 14,551.03 = 6,587.68 : x
  2. Step 2: Convert to fraction form
    9,707.42/14,551.03 = 6,587.68/x
  3. Step 3: Cross multiply
    9,707.42x = 14,551.03 × 6,587.68
  4. Step 4: Simplify right side
    9,707.42x = 95,857,519.19
  5. Step 5: Solve for x
    x = 95,857,519.19/9,707.42
  6. Step 6: Final answer
    x = 9,874.67

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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.