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Finding the Fourth Proportional to 7,070.42, 9,757.34 and 4,004.02

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Solution

The fourth proportional to 7,070.42, 9,757.34 and 4,004.02 is: 5,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.42 : 9,757.34 = 4,004.02 : x
  2. Step 2: Convert to fraction form
    7,070.42/9,757.34 = 4,004.02/x
  3. Step 3: Cross multiply
    7,070.42x = 9,757.34 × 4,004.02
  4. Step 4: Simplify right side
    7,070.42x = 39,068,584.51
  5. Step 5: Solve for x
    x = 39,068,584.51/7,070.42
  6. Step 6: Final answer
    x = 5,525.64

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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.