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Finding the Fourth Proportional to 9,783.38, 13,501.07 and 5,307.14

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Solution

The fourth proportional to 9,783.38, 13,501.07 and 5,307.14 is: 7,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.38 : 13,501.07 = 5,307.14 : x
  2. Step 2: Convert to fraction form
    9,783.38/13,501.07 = 5,307.14/x
  3. Step 3: Cross multiply
    9,783.38x = 13,501.07 × 5,307.14
  4. Step 4: Simplify right side
    9,783.38x = 71,651,974.60
  5. Step 5: Solve for x
    x = 71,651,974.60/9,783.38
  6. Step 6: Final answer
    x = 7,323.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.