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Finding the Fourth Proportional to 9,031.77, 13,615.35 and 8,429.67

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Solution

The fourth proportional to 9,031.77, 13,615.35 and 8,429.67 is: 12,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.77 : 13,615.35 = 8,429.67 : x
  2. Step 2: Convert to fraction form
    9,031.77/13,615.35 = 8,429.67/x
  3. Step 3: Cross multiply
    9,031.77x = 13,615.35 × 8,429.67
  4. Step 4: Simplify right side
    9,031.77x = 114,772,907.43
  5. Step 5: Solve for x
    x = 114,772,907.43/9,031.77
  6. Step 6: Final answer
    x = 12,707.69

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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.