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Finding the Fourth Proportional to 9,016.48, 12,458.64 and 6,938.56

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Solution

The fourth proportional to 9,016.48, 12,458.64 and 6,938.56 is: 9,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.48 : 12,458.64 = 6,938.56 : x
  2. Step 2: Convert to fraction form
    9,016.48/12,458.64 = 6,938.56/x
  3. Step 3: Cross multiply
    9,016.48x = 12,458.64 × 6,938.56
  4. Step 4: Simplify right side
    9,016.48x = 86,445,021.16
  5. Step 5: Solve for x
    x = 86,445,021.16/9,016.48
  6. Step 6: Final answer
    x = 9,587.45

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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.