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Finding the Fourth Proportional to 9,453.36, 13,046.86 and 5,421.76

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Solution

The fourth proportional to 9,453.36, 13,046.86 and 5,421.76 is: 7,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.36 : 13,046.86 = 5,421.76 : x
  2. Step 2: Convert to fraction form
    9,453.36/13,046.86 = 5,421.76/x
  3. Step 3: Cross multiply
    9,453.36x = 13,046.86 × 5,421.76
  4. Step 4: Simplify right side
    9,453.36x = 70,736,943.67
  5. Step 5: Solve for x
    x = 70,736,943.67/9,453.36
  6. Step 6: Final answer
    x = 7,482.73

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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.