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Finding the Fourth Proportional to 9,695.60, 13,379.46 and 5,503.76

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Solution

The fourth proportional to 9,695.60, 13,379.46 and 5,503.76 is: 7,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.60 : 13,379.46 = 5,503.76 : x
  2. Step 2: Convert to fraction form
    9,695.60/13,379.46 = 5,503.76/x
  3. Step 3: Cross multiply
    9,695.60x = 13,379.46 × 5,503.76
  4. Step 4: Simplify right side
    9,695.60x = 73,637,336.77
  5. Step 5: Solve for x
    x = 73,637,336.77/9,695.60
  6. Step 6: Final answer
    x = 7,594.92

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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.