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Finding the Fourth Proportional to 9,289.54, 12,825.57 and 5,756.50

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Solution

The fourth proportional to 9,289.54, 12,825.57 and 5,756.50 is: 7,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.54 : 12,825.57 = 5,756.50 : x
  2. Step 2: Convert to fraction form
    9,289.54/12,825.57 = 5,756.50/x
  3. Step 3: Cross multiply
    9,289.54x = 12,825.57 × 5,756.50
  4. Step 4: Simplify right side
    9,289.54x = 73,830,393.71
  5. Step 5: Solve for x
    x = 73,830,393.71/9,289.54
  6. Step 6: Final answer
    x = 7,947.69

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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.