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Finding the Fourth Proportional to 9,784.09, 13,502.14 and 5,307.88

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Solution

The fourth proportional to 9,784.09, 13,502.14 and 5,307.88 is: 7,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.09 : 13,502.14 = 5,307.88 : x
  2. Step 2: Convert to fraction form
    9,784.09/13,502.14 = 5,307.88/x
  3. Step 3: Cross multiply
    9,784.09x = 13,502.14 × 5,307.88
  4. Step 4: Simplify right side
    9,784.09x = 71,667,747.01
  5. Step 5: Solve for x
    x = 71,667,747.01/9,784.09
  6. Step 6: Final answer
    x = 7,324.93

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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.