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Finding the Fourth Proportional to 9,705.43, 14,556.07 and 4,438.95

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Solution

The fourth proportional to 9,705.43, 14,556.07 and 4,438.95 is: 6,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.43 : 14,556.07 = 4,438.95 : x
  2. Step 2: Convert to fraction form
    9,705.43/14,556.07 = 4,438.95/x
  3. Step 3: Cross multiply
    9,705.43x = 14,556.07 × 4,438.95
  4. Step 4: Simplify right side
    9,705.43x = 64,613,666.93
  5. Step 5: Solve for x
    x = 64,613,666.93/9,705.43
  6. Step 6: Final answer
    x = 6,657.48

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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.