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Finding the Fourth Proportional to 9,312.42, 13,969.61 and 4,633.61

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Solution

The fourth proportional to 9,312.42, 13,969.61 and 4,633.61 is: 6,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.42 : 13,969.61 = 4,633.61 : x
  2. Step 2: Convert to fraction form
    9,312.42/13,969.61 = 4,633.61/x
  3. Step 3: Cross multiply
    9,312.42x = 13,969.61 × 4,633.61
  4. Step 4: Simplify right side
    9,312.42x = 64,729,675.02
  5. Step 5: Solve for x
    x = 64,729,675.02/9,312.42
  6. Step 6: Final answer
    x = 6,950.90

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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.