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Finding the Fourth Proportional to 9,384.50, 12,951.21 and 5,405.53

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Solution

The fourth proportional to 9,384.50, 12,951.21 and 5,405.53 is: 7,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.50 : 12,951.21 = 5,405.53 : x
  2. Step 2: Convert to fraction form
    9,384.50/12,951.21 = 5,405.53/x
  3. Step 3: Cross multiply
    9,384.50x = 12,951.21 × 5,405.53
  4. Step 4: Simplify right side
    9,384.50x = 70,008,154.19
  5. Step 5: Solve for x
    x = 70,008,154.19/9,384.50
  6. Step 6: Final answer
    x = 7,459.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.