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Finding the Fourth Proportional to 7,056.09, 9,734.91 and 5,374.83

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Solution

The fourth proportional to 7,056.09, 9,734.91 and 5,374.83 is: 7,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.09 : 9,734.91 = 5,374.83 : x
  2. Step 2: Convert to fraction form
    7,056.09/9,734.91 = 5,374.83/x
  3. Step 3: Cross multiply
    7,056.09x = 9,734.91 × 5,374.83
  4. Step 4: Simplify right side
    7,056.09x = 52,323,486.32
  5. Step 5: Solve for x
    x = 52,323,486.32/7,056.09
  6. Step 6: Final answer
    x = 7,415.37

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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.