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Finding the Fourth Proportional to 7,070.22, 9,754.43 and 4,416.66

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Solution

The fourth proportional to 7,070.22, 9,754.43 and 4,416.66 is: 6,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.22 : 9,754.43 = 4,416.66 : x
  2. Step 2: Convert to fraction form
    7,070.22/9,754.43 = 4,416.66/x
  3. Step 3: Cross multiply
    7,070.22x = 9,754.43 × 4,416.66
  4. Step 4: Simplify right side
    7,070.22x = 43,081,978.72
  5. Step 5: Solve for x
    x = 43,081,978.72/7,070.22
  6. Step 6: Final answer
    x = 6,093.44

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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.