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Finding the Fourth Proportional to 7,039.60, 9,714.39 and 4,055.56

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Solution

The fourth proportional to 7,039.60, 9,714.39 and 4,055.56 is: 5,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.60 : 9,714.39 = 4,055.56 : x
  2. Step 2: Convert to fraction form
    7,039.60/9,714.39 = 4,055.56/x
  3. Step 3: Cross multiply
    7,039.60x = 9,714.39 × 4,055.56
  4. Step 4: Simplify right side
    7,039.60x = 39,397,291.51
  5. Step 5: Solve for x
    x = 39,397,291.51/7,039.60
  6. Step 6: Final answer
    x = 5,596.52

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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.