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Finding the Fourth Proportional to 9,129.84, 12,599.46 and 5,097

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Solution

The fourth proportional to 9,129.84, 12,599.46 and 5,097 is: 7,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.84 : 12,599.46 = 5,097 : x
  2. Step 2: Convert to fraction form
    9,129.84/12,599.46 = 5,097/x
  3. Step 3: Cross multiply
    9,129.84x = 12,599.46 × 5,097
  4. Step 4: Simplify right side
    9,129.84x = 64,219,447.62
  5. Step 5: Solve for x
    x = 64,219,447.62/9,129.84
  6. Step 6: Final answer
    x = 7,034.02

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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.