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Finding the Fourth Proportional to 9,116.84, 13,671.32 and 3,854.21

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Solution

The fourth proportional to 9,116.84, 13,671.32 and 3,854.21 is: 5,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.84 : 13,671.32 = 3,854.21 : x
  2. Step 2: Convert to fraction form
    9,116.84/13,671.32 = 3,854.21/x
  3. Step 3: Cross multiply
    9,116.84x = 13,671.32 × 3,854.21
  4. Step 4: Simplify right side
    9,116.84x = 52,692,050.63
  5. Step 5: Solve for x
    x = 52,692,050.63/9,116.84
  6. Step 6: Final answer
    x = 5,779.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.