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Finding the Fourth Proportional to 7,029.86, 9,701.22 and 4,045.64

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Solution

The fourth proportional to 7,029.86, 9,701.22 and 4,045.64 is: 5,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.86 : 9,701.22 = 4,045.64 : x
  2. Step 2: Convert to fraction form
    7,029.86/9,701.22 = 4,045.64/x
  3. Step 3: Cross multiply
    7,029.86x = 9,701.22 × 4,045.64
  4. Step 4: Simplify right side
    7,029.86x = 39,247,623.45
  5. Step 5: Solve for x
    x = 39,247,623.45/7,029.86
  6. Step 6: Final answer
    x = 5,582.99

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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.