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Finding the Fourth Proportional to 9,784.13, 13,502.10 and 5,307.86

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Solution

The fourth proportional to 9,784.13, 13,502.10 and 5,307.86 is: 7,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.13 : 13,502.10 = 5,307.86 : x
  2. Step 2: Convert to fraction form
    9,784.13/13,502.10 = 5,307.86/x
  3. Step 3: Cross multiply
    9,784.13x = 13,502.10 × 5,307.86
  4. Step 4: Simplify right side
    9,784.13x = 71,667,256.51
  5. Step 5: Solve for x
    x = 71,667,256.51/9,784.13
  6. Step 6: Final answer
    x = 7,324.85

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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.