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Finding the Fourth Proportional to 9,731.77, 14,585.35 and 5,289.25

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Solution

The fourth proportional to 9,731.77, 14,585.35 and 5,289.25 is: 7,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.77 : 14,585.35 = 5,289.25 : x
  2. Step 2: Convert to fraction form
    9,731.77/14,585.35 = 5,289.25/x
  3. Step 3: Cross multiply
    9,731.77x = 14,585.35 × 5,289.25
  4. Step 4: Simplify right side
    9,731.77x = 77,145,562.49
  5. Step 5: Solve for x
    x = 77,145,562.49/9,731.77
  6. Step 6: Final answer
    x = 7,927.19

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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.