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Finding the Fourth Proportional to 9,819, 13,547.34 and 5,838.12

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Solution

The fourth proportional to 9,819, 13,547.34 and 5,838.12 is: 8,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 13,547.34 = 5,838.12 : x
  2. Step 2: Convert to fraction form
    9,819/13,547.34 = 5,838.12/x
  3. Step 3: Cross multiply
    9,819x = 13,547.34 × 5,838.12
  4. Step 4: Simplify right side
    9,819x = 79,090,996.60
  5. Step 5: Solve for x
    x = 79,090,996.60/9,819
  6. Step 6: Final answer
    x = 8,054.89

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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.