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Finding the Fourth Proportional to 7,053.21, 9,725.85 and 5,946.35

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Solution

The fourth proportional to 7,053.21, 9,725.85 and 5,946.35 is: 8,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.21 : 9,725.85 = 5,946.35 : x
  2. Step 2: Convert to fraction form
    7,053.21/9,725.85 = 5,946.35/x
  3. Step 3: Cross multiply
    7,053.21x = 9,725.85 × 5,946.35
  4. Step 4: Simplify right side
    7,053.21x = 57,833,259.52
  5. Step 5: Solve for x
    x = 57,833,259.52/7,053.21
  6. Step 6: Final answer
    x = 8,199.57

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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.