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Finding the Fourth Proportional to 9,709.21, 14,497.94 and 7,712.35

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Solution

The fourth proportional to 9,709.21, 14,497.94 and 7,712.35 is: 11,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.21 : 14,497.94 = 7,712.35 : x
  2. Step 2: Convert to fraction form
    9,709.21/14,497.94 = 7,712.35/x
  3. Step 3: Cross multiply
    9,709.21x = 14,497.94 × 7,712.35
  4. Step 4: Simplify right side
    9,709.21x = 111,813,208.76
  5. Step 5: Solve for x
    x = 111,813,208.76/9,709.21
  6. Step 6: Final answer
    x = 11,516.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.