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Finding the Fourth Proportional to 9,283.37, 13,925.66 and 2,709

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Solution

The fourth proportional to 9,283.37, 13,925.66 and 2,709 is: 4,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.37 : 13,925.66 = 2,709 : x
  2. Step 2: Convert to fraction form
    9,283.37/13,925.66 = 2,709/x
  3. Step 3: Cross multiply
    9,283.37x = 13,925.66 × 2,709
  4. Step 4: Simplify right side
    9,283.37x = 37,724,599.40
  5. Step 5: Solve for x
    x = 37,724,599.40/9,283.37
  6. Step 6: Final answer
    x = 4,063.68

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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.