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Finding the Fourth Proportional to 9,705.58, 14,556.96 and 4,773.90

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Solution

The fourth proportional to 9,705.58, 14,556.96 and 4,773.90 is: 7,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.58 : 14,556.96 = 4,773.90 : x
  2. Step 2: Convert to fraction form
    9,705.58/14,556.96 = 4,773.90/x
  3. Step 3: Cross multiply
    9,705.58x = 14,556.96 × 4,773.90
  4. Step 4: Simplify right side
    9,705.58x = 69,493,471.34
  5. Step 5: Solve for x
    x = 69,493,471.34/9,705.58
  6. Step 6: Final answer
    x = 7,160.16

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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.