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Finding the Fourth Proportional to 9,628.34, 13,287.06 and 5,437.40

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Solution

The fourth proportional to 9,628.34, 13,287.06 and 5,437.40 is: 7,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.34 : 13,287.06 = 5,437.40 : x
  2. Step 2: Convert to fraction form
    9,628.34/13,287.06 = 5,437.40/x
  3. Step 3: Cross multiply
    9,628.34x = 13,287.06 × 5,437.40
  4. Step 4: Simplify right side
    9,628.34x = 72,246,993.61
  5. Step 5: Solve for x
    x = 72,246,993.61/9,628.34
  6. Step 6: Final answer
    x = 7,503.58

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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.