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Finding the Fourth Proportional to 6,531.39, 9,810.48 and 4,313.49

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Solution

The fourth proportional to 6,531.39, 9,810.48 and 4,313.49 is: 6,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.39 : 9,810.48 = 4,313.49 : x
  2. Step 2: Convert to fraction form
    6,531.39/9,810.48 = 4,313.49/x
  3. Step 3: Cross multiply
    6,531.39x = 9,810.48 × 4,313.49
  4. Step 4: Simplify right side
    6,531.39x = 42,317,407.38
  5. Step 5: Solve for x
    x = 42,317,407.38/6,531.39
  6. Step 6: Final answer
    x = 6,479.08

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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.