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Finding the Fourth Proportional to 6,935.56, 9,566.04 and 4,415.40

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Solution

The fourth proportional to 6,935.56, 9,566.04 and 4,415.40 is: 6,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.56 : 9,566.04 = 4,415.40 : x
  2. Step 2: Convert to fraction form
    6,935.56/9,566.04 = 4,415.40/x
  3. Step 3: Cross multiply
    6,935.56x = 9,566.04 × 4,415.40
  4. Step 4: Simplify right side
    6,935.56x = 42,237,893.02
  5. Step 5: Solve for x
    x = 42,237,893.02/6,935.56
  6. Step 6: Final answer
    x = 6,090.05

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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.