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Finding the Fourth Proportional to 9,724.77, 13,421.37 and 6,368.40

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Solution

The fourth proportional to 9,724.77, 13,421.37 and 6,368.40 is: 8,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.77 : 13,421.37 = 6,368.40 : x
  2. Step 2: Convert to fraction form
    9,724.77/13,421.37 = 6,368.40/x
  3. Step 3: Cross multiply
    9,724.77x = 13,421.37 × 6,368.40
  4. Step 4: Simplify right side
    9,724.77x = 85,472,652.71
  5. Step 5: Solve for x
    x = 85,472,652.71/9,724.77
  6. Step 6: Final answer
    x = 8,789.17

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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.