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Finding the Fourth Proportional to 9,712.14, 14,569.62 and 3,868.39

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Solution

The fourth proportional to 9,712.14, 14,569.62 and 3,868.39 is: 5,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.14 : 14,569.62 = 3,868.39 : x
  2. Step 2: Convert to fraction form
    9,712.14/14,569.62 = 3,868.39/x
  3. Step 3: Cross multiply
    9,712.14x = 14,569.62 × 3,868.39
  4. Step 4: Simplify right side
    9,712.14x = 56,360,972.31
  5. Step 5: Solve for x
    x = 56,360,972.31/9,712.14
  6. Step 6: Final answer
    x = 5,803.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.