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Finding the Fourth Proportional to 9,645.60, 13,311.03 and 5,666.88

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Solution

The fourth proportional to 9,645.60, 13,311.03 and 5,666.88 is: 7,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.60 : 13,311.03 = 5,666.88 : x
  2. Step 2: Convert to fraction form
    9,645.60/13,311.03 = 5,666.88/x
  3. Step 3: Cross multiply
    9,645.60x = 13,311.03 × 5,666.88
  4. Step 4: Simplify right side
    9,645.60x = 75,432,009.69
  5. Step 5: Solve for x
    x = 75,432,009.69/9,645.60
  6. Step 6: Final answer
    x = 7,820.35

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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.