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Finding the Fourth Proportional to 9,126.40, 12,596.80 and 5,948.40

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Solution

The fourth proportional to 9,126.40, 12,596.80 and 5,948.40 is: 8,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.40 : 12,596.80 = 5,948.40 : x
  2. Step 2: Convert to fraction form
    9,126.40/12,596.80 = 5,948.40/x
  3. Step 3: Cross multiply
    9,126.40x = 12,596.80 × 5,948.40
  4. Step 4: Simplify right side
    9,126.40x = 74,930,805.12
  5. Step 5: Solve for x
    x = 74,930,805.12/9,126.40
  6. Step 6: Final answer
    x = 8,210.34

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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.