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Finding the Fourth Proportional to 9,645.64, 14,461.02 and 4,445.32

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Solution

The fourth proportional to 9,645.64, 14,461.02 and 4,445.32 is: 6,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.64 : 14,461.02 = 4,445.32 : x
  2. Step 2: Convert to fraction form
    9,645.64/14,461.02 = 4,445.32/x
  3. Step 3: Cross multiply
    9,645.64x = 14,461.02 × 4,445.32
  4. Step 4: Simplify right side
    9,645.64x = 64,283,861.43
  5. Step 5: Solve for x
    x = 64,283,861.43/9,645.64
  6. Step 6: Final answer
    x = 6,664.55

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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.