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Finding the Fourth Proportional to 6,870.42, 9,477.95 and 4,216.19

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Solution

The fourth proportional to 6,870.42, 9,477.95 and 4,216.19 is: 5,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.42 : 9,477.95 = 4,216.19 : x
  2. Step 2: Convert to fraction form
    6,870.42/9,477.95 = 4,216.19/x
  3. Step 3: Cross multiply
    6,870.42x = 9,477.95 × 4,216.19
  4. Step 4: Simplify right side
    6,870.42x = 39,960,769.54
  5. Step 5: Solve for x
    x = 39,960,769.54/6,870.42
  6. Step 6: Final answer
    x = 5,816.35

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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.