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Finding the Fourth Proportional to 6,905.54, 9,528.93 and 3,921.64

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Solution

The fourth proportional to 6,905.54, 9,528.93 and 3,921.64 is: 5,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.54 : 9,528.93 = 3,921.64 : x
  2. Step 2: Convert to fraction form
    6,905.54/9,528.93 = 3,921.64/x
  3. Step 3: Cross multiply
    6,905.54x = 9,528.93 × 3,921.64
  4. Step 4: Simplify right side
    6,905.54x = 37,369,009.22
  5. Step 5: Solve for x
    x = 37,369,009.22/6,905.54
  6. Step 6: Final answer
    x = 5,411.45

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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.