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Finding the Fourth Proportional to 9,534.69, 14,304.06 and 2,871.39

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Solution

The fourth proportional to 9,534.69, 14,304.06 and 2,871.39 is: 4,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.69 : 14,304.06 = 2,871.39 : x
  2. Step 2: Convert to fraction form
    9,534.69/14,304.06 = 2,871.39/x
  3. Step 3: Cross multiply
    9,534.69x = 14,304.06 × 2,871.39
  4. Step 4: Simplify right side
    9,534.69x = 41,072,534.84
  5. Step 5: Solve for x
    x = 41,072,534.84/9,534.69
  6. Step 6: Final answer
    x = 4,307.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.