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Finding the Fourth Proportional to 9,695.34, 13,379.31 and 5,503.50

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Solution

The fourth proportional to 9,695.34, 13,379.31 and 5,503.50 is: 7,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.34 : 13,379.31 = 5,503.50 : x
  2. Step 2: Convert to fraction form
    9,695.34/13,379.31 = 5,503.50/x
  3. Step 3: Cross multiply
    9,695.34x = 13,379.31 × 5,503.50
  4. Step 4: Simplify right side
    9,695.34x = 73,633,032.59
  5. Step 5: Solve for x
    x = 73,633,032.59/9,695.34
  6. Step 6: Final answer
    x = 7,594.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.