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Finding the Fourth Proportional to 6,852.80, 9,463.20 and 5,465.60

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Solution

The fourth proportional to 6,852.80, 9,463.20 and 5,465.60 is: 7,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.80 : 9,463.20 = 5,465.60 : x
  2. Step 2: Convert to fraction form
    6,852.80/9,463.20 = 5,465.60/x
  3. Step 3: Cross multiply
    6,852.80x = 9,463.20 × 5,465.60
  4. Step 4: Simplify right side
    6,852.80x = 51,722,065.92
  5. Step 5: Solve for x
    x = 51,722,065.92/6,852.80
  6. Step 6: Final answer
    x = 7,547.58

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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.