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Finding the Fourth Proportional to 7,070.94, 9,757.68 and 4,004.46

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Solution

The fourth proportional to 7,070.94, 9,757.68 and 4,004.46 is: 5,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.94 : 9,757.68 = 4,004.46 : x
  2. Step 2: Convert to fraction form
    7,070.94/9,757.68 = 4,004.46/x
  3. Step 3: Cross multiply
    7,070.94x = 9,757.68 × 4,004.46
  4. Step 4: Simplify right side
    7,070.94x = 39,074,239.25
  5. Step 5: Solve for x
    x = 39,074,239.25/7,070.94
  6. Step 6: Final answer
    x = 5,526.03

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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.