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Finding the Fourth Proportional to 9,159.46, 12,639.54 and 5,180.34

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Solution

The fourth proportional to 9,159.46, 12,639.54 and 5,180.34 is: 7,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.46 : 12,639.54 = 5,180.34 : x
  2. Step 2: Convert to fraction form
    9,159.46/12,639.54 = 5,180.34/x
  3. Step 3: Cross multiply
    9,159.46x = 12,639.54 × 5,180.34
  4. Step 4: Simplify right side
    9,159.46x = 65,477,114.64
  5. Step 5: Solve for x
    x = 65,477,114.64/9,159.46
  6. Step 6: Final answer
    x = 7,148.58

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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.