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Finding the Fourth Proportional to 9,677.42, 13,346.90 and 6,491.24

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Solution

The fourth proportional to 9,677.42, 13,346.90 and 6,491.24 is: 8,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.42 : 13,346.90 = 6,491.24 : x
  2. Step 2: Convert to fraction form
    9,677.42/13,346.90 = 6,491.24/x
  3. Step 3: Cross multiply
    9,677.42x = 13,346.90 × 6,491.24
  4. Step 4: Simplify right side
    9,677.42x = 86,637,931.16
  5. Step 5: Solve for x
    x = 86,637,931.16/9,677.42
  6. Step 6: Final answer
    x = 8,952.59

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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.