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Finding the Fourth Proportional to 9,673.67, 13,344.13 and 6,981.89

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Solution

The fourth proportional to 9,673.67, 13,344.13 and 6,981.89 is: 9,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.67 : 13,344.13 = 6,981.89 : x
  2. Step 2: Convert to fraction form
    9,673.67/13,344.13 = 6,981.89/x
  3. Step 3: Cross multiply
    9,673.67x = 13,344.13 × 6,981.89
  4. Step 4: Simplify right side
    9,673.67x = 93,167,263.71
  5. Step 5: Solve for x
    x = 93,167,263.71/9,673.67
  6. Step 6: Final answer
    x = 9,631.01

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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.