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Finding the Fourth Proportional to 9,762.84, 14,658.84 and 9,617.04

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Solution

The fourth proportional to 9,762.84, 14,658.84 and 9,617.04 is: 14,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.84 : 14,658.84 = 9,617.04 : x
  2. Step 2: Convert to fraction form
    9,762.84/14,658.84 = 9,617.04/x
  3. Step 3: Cross multiply
    9,762.84x = 14,658.84 × 9,617.04
  4. Step 4: Simplify right side
    9,762.84x = 140,974,650.63
  5. Step 5: Solve for x
    x = 140,974,650.63/9,762.84
  6. Step 6: Final answer
    x = 14,439.92

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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.