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Finding the Fourth Proportional to 7,050.86, 9,730.24 and 3,907.10

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Solution

The fourth proportional to 7,050.86, 9,730.24 and 3,907.10 is: 5,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.86 : 9,730.24 = 3,907.10 : x
  2. Step 2: Convert to fraction form
    7,050.86/9,730.24 = 3,907.10/x
  3. Step 3: Cross multiply
    7,050.86x = 9,730.24 × 3,907.10
  4. Step 4: Simplify right side
    7,050.86x = 38,016,962.29
  5. Step 5: Solve for x
    x = 38,016,962.29/7,050.86
  6. Step 6: Final answer
    x = 5,391.82

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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.