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Finding the Fourth Proportional to 7,034.65, 9,708.41 and 4,051.45

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Solution

The fourth proportional to 7,034.65, 9,708.41 and 4,051.45 is: 5,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.65 : 9,708.41 = 4,051.45 : x
  2. Step 2: Convert to fraction form
    7,034.65/9,708.41 = 4,051.45/x
  3. Step 3: Cross multiply
    7,034.65x = 9,708.41 × 4,051.45
  4. Step 4: Simplify right side
    7,034.65x = 39,333,137.69
  5. Step 5: Solve for x
    x = 39,333,137.69/7,034.65
  6. Step 6: Final answer
    x = 5,591.34

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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.