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Finding the Fourth Proportional to 9,125.56, 13,663.86 and 6,346.36

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Solution

The fourth proportional to 9,125.56, 13,663.86 and 6,346.36 is: 9,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.56 : 13,663.86 = 6,346.36 : x
  2. Step 2: Convert to fraction form
    9,125.56/13,663.86 = 6,346.36/x
  3. Step 3: Cross multiply
    9,125.56x = 13,663.86 × 6,346.36
  4. Step 4: Simplify right side
    9,125.56x = 86,715,774.55
  5. Step 5: Solve for x
    x = 86,715,774.55/9,125.56
  6. Step 6: Final answer
    x = 9,502.52

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