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Finding the Fourth Proportional to 9,792.30, 14,688.45 and 9,597.90

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Solution

The fourth proportional to 9,792.30, 14,688.45 and 9,597.90 is: 14,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.30 : 14,688.45 = 9,597.90 : x
  2. Step 2: Convert to fraction form
    9,792.30/14,688.45 = 9,597.90/x
  3. Step 3: Cross multiply
    9,792.30x = 14,688.45 × 9,597.90
  4. Step 4: Simplify right side
    9,792.30x = 140,978,274.26
  5. Step 5: Solve for x
    x = 140,978,274.26/9,792.30
  6. Step 6: Final answer
    x = 14,396.85

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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.