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Finding the Fourth Proportional to 9,674.12, 13,337.80 and 6,265.08

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Solution

The fourth proportional to 9,674.12, 13,337.80 and 6,265.08 is: 8,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.12 : 13,337.80 = 6,265.08 : x
  2. Step 2: Convert to fraction form
    9,674.12/13,337.80 = 6,265.08/x
  3. Step 3: Cross multiply
    9,674.12x = 13,337.80 × 6,265.08
  4. Step 4: Simplify right side
    9,674.12x = 83,562,384.02
  5. Step 5: Solve for x
    x = 83,562,384.02/9,674.12
  6. Step 6: Final answer
    x = 8,637.72

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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.