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Finding the Fourth Proportional to 7,029.89, 9,702.23 and 4,045.65

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Solution

The fourth proportional to 7,029.89, 9,702.23 and 4,045.65 is: 5,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.89 : 9,702.23 = 4,045.65 : x
  2. Step 2: Convert to fraction form
    7,029.89/9,702.23 = 4,045.65/x
  3. Step 3: Cross multiply
    7,029.89x = 9,702.23 × 4,045.65
  4. Step 4: Simplify right side
    7,029.89x = 39,251,792.94
  5. Step 5: Solve for x
    x = 39,251,792.94/7,029.89
  6. Step 6: Final answer
    x = 5,583.56

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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.