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Finding the Fourth Proportional to 7,050.78, 9,730.53 and 3,907.17

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Solution

The fourth proportional to 7,050.78, 9,730.53 and 3,907.17 is: 5,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.78 : 9,730.53 = 3,907.17 : x
  2. Step 2: Convert to fraction form
    7,050.78/9,730.53 = 3,907.17/x
  3. Step 3: Cross multiply
    7,050.78x = 9,730.53 × 3,907.17
  4. Step 4: Simplify right side
    7,050.78x = 38,018,834.90
  5. Step 5: Solve for x
    x = 38,018,834.90/7,050.78
  6. Step 6: Final answer
    x = 5,392.15

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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.