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Finding the Fourth Proportional to 9,588.51, 13,228.29 and 7,076.61

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Solution

The fourth proportional to 9,588.51, 13,228.29 and 7,076.61 is: 9,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.51 : 13,228.29 = 7,076.61 : x
  2. Step 2: Convert to fraction form
    9,588.51/13,228.29 = 7,076.61/x
  3. Step 3: Cross multiply
    9,588.51x = 13,228.29 × 7,076.61
  4. Step 4: Simplify right side
    9,588.51x = 93,611,449.30
  5. Step 5: Solve for x
    x = 93,611,449.30/9,588.51
  6. Step 6: Final answer
    x = 9,762.88

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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.