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Finding the Fourth Proportional to 7,029.24, 9,700.62 and 4,045.08

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Solution

The fourth proportional to 7,029.24, 9,700.62 and 4,045.08 is: 5,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.24 : 9,700.62 = 4,045.08 : x
  2. Step 2: Convert to fraction form
    7,029.24/9,700.62 = 4,045.08/x
  3. Step 3: Cross multiply
    7,029.24x = 9,700.62 × 4,045.08
  4. Step 4: Simplify right side
    7,029.24x = 39,239,783.95
  5. Step 5: Solve for x
    x = 39,239,783.95/7,029.24
  6. Step 6: Final answer
    x = 5,582.37

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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.