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Finding the Fourth Proportional to 7,029.74, 9,701.05 and 4,045.51

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Solution

The fourth proportional to 7,029.74, 9,701.05 and 4,045.51 is: 5,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.74 : 9,701.05 = 4,045.51 : x
  2. Step 2: Convert to fraction form
    7,029.74/9,701.05 = 4,045.51/x
  3. Step 3: Cross multiply
    7,029.74x = 9,701.05 × 4,045.51
  4. Step 4: Simplify right side
    7,029.74x = 39,245,660.42
  5. Step 5: Solve for x
    x = 39,245,660.42/7,029.74
  6. Step 6: Final answer
    x = 5,582.81

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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.