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Finding the Fourth Proportional to 6,421.49, 9,627.56 and 4,336.32

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Solution

The fourth proportional to 6,421.49, 9,627.56 and 4,336.32 is: 6,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.49 : 9,627.56 = 4,336.32 : x
  2. Step 2: Convert to fraction form
    6,421.49/9,627.56 = 4,336.32/x
  3. Step 3: Cross multiply
    6,421.49x = 9,627.56 × 4,336.32
  4. Step 4: Simplify right side
    6,421.49x = 41,748,159.30
  5. Step 5: Solve for x
    x = 41,748,159.30/6,421.49
  6. Step 6: Final answer
    x = 6,501.32

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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.