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Finding the Fourth Proportional to 9,765.77, 14,648.58 and 2,370.24

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Solution

The fourth proportional to 9,765.77, 14,648.58 and 2,370.24 is: 3,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.77 : 14,648.58 = 2,370.24 : x
  2. Step 2: Convert to fraction form
    9,765.77/14,648.58 = 2,370.24/x
  3. Step 3: Cross multiply
    9,765.77x = 14,648.58 × 2,370.24
  4. Step 4: Simplify right side
    9,765.77x = 34,720,650.26
  5. Step 5: Solve for x
    x = 34,720,650.26/9,765.77
  6. Step 6: Final answer
    x = 3,555.34

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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.