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Finding the Fourth Proportional to 9,326.03, 12,865.64 and 6,500.34

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Solution

The fourth proportional to 9,326.03, 12,865.64 and 6,500.34 is: 8,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.03 : 12,865.64 = 6,500.34 : x
  2. Step 2: Convert to fraction form
    9,326.03/12,865.64 = 6,500.34/x
  3. Step 3: Cross multiply
    9,326.03x = 12,865.64 × 6,500.34
  4. Step 4: Simplify right side
    9,326.03x = 83,631,001.82
  5. Step 5: Solve for x
    x = 83,631,001.82/9,326.03
  6. Step 6: Final answer
    x = 8,967.49

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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.