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Finding the Fourth Proportional to 7,029.65, 9,701.21 and 4,045.50

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Solution

The fourth proportional to 7,029.65, 9,701.21 and 4,045.50 is: 5,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.65 : 9,701.21 = 4,045.50 : x
  2. Step 2: Convert to fraction form
    7,029.65/9,701.21 = 4,045.50/x
  3. Step 3: Cross multiply
    7,029.65x = 9,701.21 × 4,045.50
  4. Step 4: Simplify right side
    7,029.65x = 39,246,196.55
  5. Step 5: Solve for x
    x = 39,246,196.55/7,029.65
  6. Step 6: Final answer
    x = 5,582.95

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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.