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Finding the Fourth Proportional to 9,643.64, 14,459.96 and 5,750.78

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Solution

The fourth proportional to 9,643.64, 14,459.96 and 5,750.78 is: 8,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.64 : 14,459.96 = 5,750.78 : x
  2. Step 2: Convert to fraction form
    9,643.64/14,459.96 = 5,750.78/x
  3. Step 3: Cross multiply
    9,643.64x = 14,459.96 × 5,750.78
  4. Step 4: Simplify right side
    9,643.64x = 83,156,048.77
  5. Step 5: Solve for x
    x = 83,156,048.77/9,643.64
  6. Step 6: Final answer
    x = 8,622.89

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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.