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Finding the Fourth Proportional to 6,946.51, 9,586.24 and 4,114.04

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Solution

The fourth proportional to 6,946.51, 9,586.24 and 4,114.04 is: 5,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.51 : 9,586.24 = 4,114.04 : x
  2. Step 2: Convert to fraction form
    6,946.51/9,586.24 = 4,114.04/x
  3. Step 3: Cross multiply
    6,946.51x = 9,586.24 × 4,114.04
  4. Step 4: Simplify right side
    6,946.51x = 39,438,106.31
  5. Step 5: Solve for x
    x = 39,438,106.31/6,946.51
  6. Step 6: Final answer
    x = 5,677.40

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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.