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Finding the Fourth Proportional to 7,048.46, 9,730.86 and 4,813.58

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Solution

The fourth proportional to 7,048.46, 9,730.86 and 4,813.58 is: 6,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.46 : 9,730.86 = 4,813.58 : x
  2. Step 2: Convert to fraction form
    7,048.46/9,730.86 = 4,813.58/x
  3. Step 3: Cross multiply
    7,048.46x = 9,730.86 × 4,813.58
  4. Step 4: Simplify right side
    7,048.46x = 46,840,273.08
  5. Step 5: Solve for x
    x = 46,840,273.08/7,048.46
  6. Step 6: Final answer
    x = 6,645.46

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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.