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Finding the Fourth Proportional to 6,894.79, 9,511.31 and 4,506.16

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Solution

The fourth proportional to 6,894.79, 9,511.31 and 4,506.16 is: 6,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.79 : 9,511.31 = 4,506.16 : x
  2. Step 2: Convert to fraction form
    6,894.79/9,511.31 = 4,506.16/x
  3. Step 3: Cross multiply
    6,894.79x = 9,511.31 × 4,506.16
  4. Step 4: Simplify right side
    6,894.79x = 42,859,484.67
  5. Step 5: Solve for x
    x = 42,859,484.67/6,894.79
  6. Step 6: Final answer
    x = 6,216.21

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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.