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Finding the Fourth Proportional to 9,031.41, 12,446.46 and 6,509.16

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Solution

The fourth proportional to 9,031.41, 12,446.46 and 6,509.16 is: 8,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.41 : 12,446.46 = 6,509.16 : x
  2. Step 2: Convert to fraction form
    9,031.41/12,446.46 = 6,509.16/x
  3. Step 3: Cross multiply
    9,031.41x = 12,446.46 × 6,509.16
  4. Step 4: Simplify right side
    9,031.41x = 81,015,999.57
  5. Step 5: Solve for x
    x = 81,015,999.57/9,031.41
  6. Step 6: Final answer
    x = 8,970.47

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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.