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Finding the Fourth Proportional to 9,765.30, 14,648.10 and 3,529.81

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Solution

The fourth proportional to 9,765.30, 14,648.10 and 3,529.81 is: 5,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.30 : 14,648.10 = 3,529.81 : x
  2. Step 2: Convert to fraction form
    9,765.30/14,648.10 = 3,529.81/x
  3. Step 3: Cross multiply
    9,765.30x = 14,648.10 × 3,529.81
  4. Step 4: Simplify right side
    9,765.30x = 51,705,009.86
  5. Step 5: Solve for x
    x = 51,705,009.86/9,765.30
  6. Step 6: Final answer
    x = 5,294.77

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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.