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Finding the Fourth Proportional to 9,935.30, 14,913.88 and 7,868.58

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Solution

The fourth proportional to 9,935.30, 14,913.88 and 7,868.58 is: 11,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.30 : 14,913.88 = 7,868.58 : x
  2. Step 2: Convert to fraction form
    9,935.30/14,913.88 = 7,868.58/x
  3. Step 3: Cross multiply
    9,935.30x = 14,913.88 × 7,868.58
  4. Step 4: Simplify right side
    9,935.30x = 117,351,057.89
  5. Step 5: Solve for x
    x = 117,351,057.89/9,935.30
  6. Step 6: Final answer
    x = 11,811.53

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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.