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Finding the Fourth Proportional to 7,050.96, 9,730.68 and 3,907.08

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Solution

The fourth proportional to 7,050.96, 9,730.68 and 3,907.08 is: 5,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.96 : 9,730.68 = 3,907.08 : x
  2. Step 2: Convert to fraction form
    7,050.96/9,730.68 = 3,907.08/x
  3. Step 3: Cross multiply
    7,050.96x = 9,730.68 × 3,907.08
  4. Step 4: Simplify right side
    7,050.96x = 38,018,545.21
  5. Step 5: Solve for x
    x = 38,018,545.21/7,050.96
  6. Step 6: Final answer
    x = 5,391.97

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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.