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Finding the Fourth Proportional to 9,547.24, 14,321.83 and 3,307.24

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Solution

The fourth proportional to 9,547.24, 14,321.83 and 3,307.24 is: 4,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.24 : 14,321.83 = 3,307.24 : x
  2. Step 2: Convert to fraction form
    9,547.24/14,321.83 = 3,307.24/x
  3. Step 3: Cross multiply
    9,547.24x = 14,321.83 × 3,307.24
  4. Step 4: Simplify right side
    9,547.24x = 47,365,684.98
  5. Step 5: Solve for x
    x = 47,365,684.98/9,547.24
  6. Step 6: Final answer
    x = 4,961.19

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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.