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Finding the Fourth Proportional to 7,070.60, 9,758.21 and 4,046.00

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Solution

The fourth proportional to 7,070.60, 9,758.21 and 4,046.00 is: 5,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.60 : 9,758.21 = 4,046.00 : x
  2. Step 2: Convert to fraction form
    7,070.60/9,758.21 = 4,046.00/x
  3. Step 3: Cross multiply
    7,070.60x = 9,758.21 × 4,046.00
  4. Step 4: Simplify right side
    7,070.60x = 39,481,721.83
  5. Step 5: Solve for x
    x = 39,481,721.83/7,070.60
  6. Step 6: Final answer
    x = 5,583.93

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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.