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Finding the Fourth Proportional to 9,663.35, 14,495.67 and 5,215.55

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Solution

The fourth proportional to 9,663.35, 14,495.67 and 5,215.55 is: 7,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.35 : 14,495.67 = 5,215.55 : x
  2. Step 2: Convert to fraction form
    9,663.35/14,495.67 = 5,215.55/x
  3. Step 3: Cross multiply
    9,663.35x = 14,495.67 × 5,215.55
  4. Step 4: Simplify right side
    9,663.35x = 75,602,819.19
  5. Step 5: Solve for x
    x = 75,602,819.19/9,663.35
  6. Step 6: Final answer
    x = 7,823.67

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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.