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Finding the Fourth Proportional to 9,152.97, 13,655.52 and 7,776.33

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Solution

The fourth proportional to 9,152.97, 13,655.52 and 7,776.33 is: 11,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.97 : 13,655.52 = 7,776.33 : x
  2. Step 2: Convert to fraction form
    9,152.97/13,655.52 = 7,776.33/x
  3. Step 3: Cross multiply
    9,152.97x = 13,655.52 × 7,776.33
  4. Step 4: Simplify right side
    9,152.97x = 106,189,829.84
  5. Step 5: Solve for x
    x = 106,189,829.84/9,152.97
  6. Step 6: Final answer
    x = 11,601.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.