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Finding the Fourth Proportional to 9,461.12, 13,051.86 and 7,350.80

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Solution

The fourth proportional to 9,461.12, 13,051.86 and 7,350.80 is: 10,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.12 : 13,051.86 = 7,350.80 : x
  2. Step 2: Convert to fraction form
    9,461.12/13,051.86 = 7,350.80/x
  3. Step 3: Cross multiply
    9,461.12x = 13,051.86 × 7,350.80
  4. Step 4: Simplify right side
    9,461.12x = 95,941,612.49
  5. Step 5: Solve for x
    x = 95,941,612.49/9,461.12
  6. Step 6: Final answer
    x = 10,140.62

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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.