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Finding the Fourth Proportional to 6,849.20, 9,438.08 and 4,957.50

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Solution

The fourth proportional to 6,849.20, 9,438.08 and 4,957.50 is: 6,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.20 : 9,438.08 = 4,957.50 : x
  2. Step 2: Convert to fraction form
    6,849.20/9,438.08 = 4,957.50/x
  3. Step 3: Cross multiply
    6,849.20x = 9,438.08 × 4,957.50
  4. Step 4: Simplify right side
    6,849.20x = 46,789,281.60
  5. Step 5: Solve for x
    x = 46,789,281.60/6,849.20
  6. Step 6: Final answer
    x = 6,831.35

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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.