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Finding the Fourth Proportional to 9,782.30, 14,673.45 and 7,708.70

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Solution

The fourth proportional to 9,782.30, 14,673.45 and 7,708.70 is: 11,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.30 : 14,673.45 = 7,708.70 : x
  2. Step 2: Convert to fraction form
    9,782.30/14,673.45 = 7,708.70/x
  3. Step 3: Cross multiply
    9,782.30x = 14,673.45 × 7,708.70
  4. Step 4: Simplify right side
    9,782.30x = 113,113,224.02
  5. Step 5: Solve for x
    x = 113,113,224.02/9,782.30
  6. Step 6: Final answer
    x = 11,563.05

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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.