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Finding the Fourth Proportional to 7,070.44, 9,758.64 and 4,086.40

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Solution

The fourth proportional to 7,070.44, 9,758.64 and 4,086.40 is: 5,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.44 : 9,758.64 = 4,086.40 : x
  2. Step 2: Convert to fraction form
    7,070.44/9,758.64 = 4,086.40/x
  3. Step 3: Cross multiply
    7,070.44x = 9,758.64 × 4,086.40
  4. Step 4: Simplify right side
    7,070.44x = 39,877,706.50
  5. Step 5: Solve for x
    x = 39,877,706.50/7,070.44
  6. Step 6: Final answer
    x = 5,640.06

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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.