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Finding the Fourth Proportional to 9,160.89, 12,642.00 and 4,969.14

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Solution

The fourth proportional to 9,160.89, 12,642.00 and 4,969.14 is: 6,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.89 : 12,642.00 = 4,969.14 : x
  2. Step 2: Convert to fraction form
    9,160.89/12,642.00 = 4,969.14/x
  3. Step 3: Cross multiply
    9,160.89x = 12,642.00 × 4,969.14
  4. Step 4: Simplify right side
    9,160.89x = 62,819,829.79
  5. Step 5: Solve for x
    x = 62,819,829.79/9,160.89
  6. Step 6: Final answer
    x = 6,857.40

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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.