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Finding the Fourth Proportional to 9,926.37, 13,695.55 and 6,148.33

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Solution

The fourth proportional to 9,926.37, 13,695.55 and 6,148.33 is: 8,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.37 : 13,695.55 = 6,148.33 : x
  2. Step 2: Convert to fraction form
    9,926.37/13,695.55 = 6,148.33/x
  3. Step 3: Cross multiply
    9,926.37x = 13,695.55 × 6,148.33
  4. Step 4: Simplify right side
    9,926.37x = 84,204,711.32
  5. Step 5: Solve for x
    x = 84,204,711.32/9,926.37
  6. Step 6: Final answer
    x = 8,482.93

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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.