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Finding the Fourth Proportional to 6,941.94, 9,573.81 and 4,921.35

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Solution

The fourth proportional to 6,941.94, 9,573.81 and 4,921.35 is: 6,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.94 : 9,573.81 = 4,921.35 : x
  2. Step 2: Convert to fraction form
    6,941.94/9,573.81 = 4,921.35/x
  3. Step 3: Cross multiply
    6,941.94x = 9,573.81 × 4,921.35
  4. Step 4: Simplify right side
    6,941.94x = 47,116,069.84
  5. Step 5: Solve for x
    x = 47,116,069.84/6,941.94
  6. Step 6: Final answer
    x = 6,787.16

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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.