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Finding the Fourth Proportional to 9,681.93, 14,522.83 and 6,409.67

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Solution

The fourth proportional to 9,681.93, 14,522.83 and 6,409.67 is: 9,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.93 : 14,522.83 = 6,409.67 : x
  2. Step 2: Convert to fraction form
    9,681.93/14,522.83 = 6,409.67/x
  3. Step 3: Cross multiply
    9,681.93x = 14,522.83 × 6,409.67
  4. Step 4: Simplify right side
    9,681.93x = 93,086,459.13
  5. Step 5: Solve for x
    x = 93,086,459.13/9,681.93
  6. Step 6: Final answer
    x = 9,614.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.