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Finding the Fourth Proportional to 9,503.40, 14,266.80 and 5,993.40

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Solution

The fourth proportional to 9,503.40, 14,266.80 and 5,993.40 is: 8,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.40 : 14,266.80 = 5,993.40 : x
  2. Step 2: Convert to fraction form
    9,503.40/14,266.80 = 5,993.40/x
  3. Step 3: Cross multiply
    9,503.40x = 14,266.80 × 5,993.40
  4. Step 4: Simplify right side
    9,503.40x = 85,506,639.12
  5. Step 5: Solve for x
    x = 85,506,639.12/9,503.40
  6. Step 6: Final answer
    x = 8,997.48

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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.