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Finding the Fourth Proportional to 9,461.30, 13,051.63 and 7,219.29

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Solution

The fourth proportional to 9,461.30, 13,051.63 and 7,219.29 is: 9,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.30 : 13,051.63 = 7,219.29 : x
  2. Step 2: Convert to fraction form
    9,461.30/13,051.63 = 7,219.29/x
  3. Step 3: Cross multiply
    9,461.30x = 13,051.63 × 7,219.29
  4. Step 4: Simplify right side
    9,461.30x = 94,223,501.94
  5. Step 5: Solve for x
    x = 94,223,501.94/9,461.30
  6. Step 6: Final answer
    x = 9,958.83

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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.