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Finding the Fourth Proportional to 7,053.66, 9,730.29 and 5,725.02

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Solution

The fourth proportional to 7,053.66, 9,730.29 and 5,725.02 is: 7,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.66 : 9,730.29 = 5,725.02 : x
  2. Step 2: Convert to fraction form
    7,053.66/9,730.29 = 5,725.02/x
  3. Step 3: Cross multiply
    7,053.66x = 9,730.29 × 5,725.02
  4. Step 4: Simplify right side
    7,053.66x = 55,706,104.86
  5. Step 5: Solve for x
    x = 55,706,104.86/7,053.66
  6. Step 6: Final answer
    x = 7,897.48

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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.