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Finding the Fourth Proportional to 9,088.77, 12,525.15 and 7,829.43

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Solution

The fourth proportional to 9,088.77, 12,525.15 and 7,829.43 is: 10,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.77 : 12,525.15 = 7,829.43 : x
  2. Step 2: Convert to fraction form
    9,088.77/12,525.15 = 7,829.43/x
  3. Step 3: Cross multiply
    9,088.77x = 12,525.15 × 7,829.43
  4. Step 4: Simplify right side
    9,088.77x = 98,064,785.16
  5. Step 5: Solve for x
    x = 98,064,785.16/9,088.77
  6. Step 6: Final answer
    x = 10,789.67

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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.