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Finding the Fourth Proportional to 9,628, 13,285.92 and 5,436.16

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Solution

The fourth proportional to 9,628, 13,285.92 and 5,436.16 is: 7,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628 : 13,285.92 = 5,436.16 : x
  2. Step 2: Convert to fraction form
    9,628/13,285.92 = 5,436.16/x
  3. Step 3: Cross multiply
    9,628x = 13,285.92 × 5,436.16
  4. Step 4: Simplify right side
    9,628x = 72,224,386.87
  5. Step 5: Solve for x
    x = 72,224,386.87/9,628
  6. Step 6: Final answer
    x = 7,501.49

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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.