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Finding the Fourth Proportional to 9,669, 13,344.06 and 6,130.92

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Solution

The fourth proportional to 9,669, 13,344.06 and 6,130.92 is: 8,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 13,344.06 = 6,130.92 : x
  2. Step 2: Convert to fraction form
    9,669/13,344.06 = 6,130.92/x
  3. Step 3: Cross multiply
    9,669x = 13,344.06 × 6,130.92
  4. Step 4: Simplify right side
    9,669x = 81,811,364.34
  5. Step 5: Solve for x
    x = 81,811,364.34/9,669
  6. Step 6: Final answer
    x = 8,461.20

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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.