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Finding the Fourth Proportional to 7,039.80, 9,714.80 and 4,055.63

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Solution

The fourth proportional to 7,039.80, 9,714.80 and 4,055.63 is: 5,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.80 : 9,714.80 = 4,055.63 : x
  2. Step 2: Convert to fraction form
    7,039.80/9,714.80 = 4,055.63/x
  3. Step 3: Cross multiply
    7,039.80x = 9,714.80 × 4,055.63
  4. Step 4: Simplify right side
    7,039.80x = 39,399,634.32
  5. Step 5: Solve for x
    x = 39,399,634.32/7,039.80
  6. Step 6: Final answer
    x = 5,596.70

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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.