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Finding the Fourth Proportional to 7,053.84, 9,731.79 and 4,070.43

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Solution

The fourth proportional to 7,053.84, 9,731.79 and 4,070.43 is: 5,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.84 : 9,731.79 = 4,070.43 : x
  2. Step 2: Convert to fraction form
    7,053.84/9,731.79 = 4,070.43/x
  3. Step 3: Cross multiply
    7,053.84x = 9,731.79 × 4,070.43
  4. Step 4: Simplify right side
    7,053.84x = 39,612,569.97
  5. Step 5: Solve for x
    x = 39,612,569.97/7,053.84
  6. Step 6: Final answer
    x = 5,615.75

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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.