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Finding the Fourth Proportional to 9,416.49, 12,995.87 and 5,225.01

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Solution

The fourth proportional to 9,416.49, 12,995.87 and 5,225.01 is: 7,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.49 : 12,995.87 = 5,225.01 : x
  2. Step 2: Convert to fraction form
    9,416.49/12,995.87 = 5,225.01/x
  3. Step 3: Cross multiply
    9,416.49x = 12,995.87 × 5,225.01
  4. Step 4: Simplify right side
    9,416.49x = 67,903,524.58
  5. Step 5: Solve for x
    x = 67,903,524.58/9,416.49
  6. Step 6: Final answer
    x = 7,211.13

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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.