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Finding the Fourth Proportional to 9,663.14, 14,495.85 and 3,421.85

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Solution

The fourth proportional to 9,663.14, 14,495.85 and 3,421.85 is: 5,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.14 : 14,495.85 = 3,421.85 : x
  2. Step 2: Convert to fraction form
    9,663.14/14,495.85 = 3,421.85/x
  3. Step 3: Cross multiply
    9,663.14x = 14,495.85 × 3,421.85
  4. Step 4: Simplify right side
    9,663.14x = 49,602,624.32
  5. Step 5: Solve for x
    x = 49,602,624.32/9,663.14
  6. Step 6: Final answer
    x = 5,133.18

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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.