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Finding the Fourth Proportional to 9,931.64, 14,868.30 and 7,836.98

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Solution

The fourth proportional to 9,931.64, 14,868.30 and 7,836.98 is: 11,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.64 : 14,868.30 = 7,836.98 : x
  2. Step 2: Convert to fraction form
    9,931.64/14,868.30 = 7,836.98/x
  3. Step 3: Cross multiply
    9,931.64x = 14,868.30 × 7,836.98
  4. Step 4: Simplify right side
    9,931.64x = 116,522,569.73
  5. Step 5: Solve for x
    x = 116,522,569.73/9,931.64
  6. Step 6: Final answer
    x = 11,732.46

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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.