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Finding the Fourth Proportional to 9,700.98, 14,552.86 and 3,459.12

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Solution

The fourth proportional to 9,700.98, 14,552.86 and 3,459.12 is: 5,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.98 : 14,552.86 = 3,459.12 : x
  2. Step 2: Convert to fraction form
    9,700.98/14,552.86 = 3,459.12/x
  3. Step 3: Cross multiply
    9,700.98x = 14,552.86 × 3,459.12
  4. Step 4: Simplify right side
    9,700.98x = 50,340,089.08
  5. Step 5: Solve for x
    x = 50,340,089.08/9,700.98
  6. Step 6: Final answer
    x = 5,189.18

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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.