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Finding the Fourth Proportional to 9,628.78, 13,287.09 and 5,437.30

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Solution

The fourth proportional to 9,628.78, 13,287.09 and 5,437.30 is: 7,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.78 : 13,287.09 = 5,437.30 : x
  2. Step 2: Convert to fraction form
    9,628.78/13,287.09 = 5,437.30/x
  3. Step 3: Cross multiply
    9,628.78x = 13,287.09 × 5,437.30
  4. Step 4: Simplify right side
    9,628.78x = 72,245,894.46
  5. Step 5: Solve for x
    x = 72,245,894.46/9,628.78
  6. Step 6: Final answer
    x = 7,503.12

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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.