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Finding the Fourth Proportional to 9,461.81, 13,061.61 and 6,738.10

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Solution

The fourth proportional to 9,461.81, 13,061.61 and 6,738.10 is: 9,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.81 : 13,061.61 = 6,738.10 : x
  2. Step 2: Convert to fraction form
    9,461.81/13,061.61 = 6,738.10/x
  3. Step 3: Cross multiply
    9,461.81x = 13,061.61 × 6,738.10
  4. Step 4: Simplify right side
    9,461.81x = 88,010,434.34
  5. Step 5: Solve for x
    x = 88,010,434.34/9,461.81
  6. Step 6: Final answer
    x = 9,301.65

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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.