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Finding the Fourth Proportional to 9,460, 13,054.68 and 5,211.28

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Solution

The fourth proportional to 9,460, 13,054.68 and 5,211.28 is: 7,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460 : 13,054.68 = 5,211.28 : x
  2. Step 2: Convert to fraction form
    9,460/13,054.68 = 5,211.28/x
  3. Step 3: Cross multiply
    9,460x = 13,054.68 × 5,211.28
  4. Step 4: Simplify right side
    9,460x = 68,031,592.79
  5. Step 5: Solve for x
    x = 68,031,592.79/9,460
  6. Step 6: Final answer
    x = 7,191.50

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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.