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Finding the Fourth Proportional to 9,598.12, 14,384.10 and 5,436.16

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Solution

The fourth proportional to 9,598.12, 14,384.10 and 5,436.16 is: 8,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.12 : 14,384.10 = 5,436.16 : x
  2. Step 2: Convert to fraction form
    9,598.12/14,384.10 = 5,436.16/x
  3. Step 3: Cross multiply
    9,598.12x = 14,384.10 × 5,436.16
  4. Step 4: Simplify right side
    9,598.12x = 78,194,269.06
  5. Step 5: Solve for x
    x = 78,194,269.06/9,598.12
  6. Step 6: Final answer
    x = 8,146.83

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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.