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Finding the Fourth Proportional to 7,100.12, 9,787.93 and 4,969.06

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Solution

The fourth proportional to 7,100.12, 9,787.93 and 4,969.06 is: 6,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.12 : 9,787.93 = 4,969.06 : x
  2. Step 2: Convert to fraction form
    7,100.12/9,787.93 = 4,969.06/x
  3. Step 3: Cross multiply
    7,100.12x = 9,787.93 × 4,969.06
  4. Step 4: Simplify right side
    7,100.12x = 48,636,774.55
  5. Step 5: Solve for x
    x = 48,636,774.55/7,100.12
  6. Step 6: Final answer
    x = 6,850.13

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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.