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Finding the Fourth Proportional to 7,209.30, 9,946.56 and 4,852.80

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Solution

The fourth proportional to 7,209.30, 9,946.56 and 4,852.80 is: 6,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.30 : 9,946.56 = 4,852.80 : x
  2. Step 2: Convert to fraction form
    7,209.30/9,946.56 = 4,852.80/x
  3. Step 3: Cross multiply
    7,209.30x = 9,946.56 × 4,852.80
  4. Step 4: Simplify right side
    7,209.30x = 48,268,666.37
  5. Step 5: Solve for x
    x = 48,268,666.37/7,209.30
  6. Step 6: Final answer
    x = 6,695.33

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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.