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Finding the Fourth Proportional to 9,547.82, 14,313.09 and 3,390.38

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Solution

The fourth proportional to 9,547.82, 14,313.09 and 3,390.38 is: 5,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.82 : 14,313.09 = 3,390.38 : x
  2. Step 2: Convert to fraction form
    9,547.82/14,313.09 = 3,390.38/x
  3. Step 3: Cross multiply
    9,547.82x = 14,313.09 × 3,390.38
  4. Step 4: Simplify right side
    9,547.82x = 48,526,814.07
  5. Step 5: Solve for x
    x = 48,526,814.07/9,547.82
  6. Step 6: Final answer
    x = 5,082.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.