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Finding the Fourth Proportional to 9,031.58, 13,615.07 and 8,429.48

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Solution

The fourth proportional to 9,031.58, 13,615.07 and 8,429.48 is: 12,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.58 : 13,615.07 = 8,429.48 : x
  2. Step 2: Convert to fraction form
    9,031.58/13,615.07 = 8,429.48/x
  3. Step 3: Cross multiply
    9,031.58x = 13,615.07 × 8,429.48
  4. Step 4: Simplify right side
    9,031.58x = 114,768,025.10
  5. Step 5: Solve for x
    x = 114,768,025.10/9,031.58
  6. Step 6: Final answer
    x = 12,707.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.