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Finding the Fourth Proportional to 10,097.16, 13,931.94 and 6,369

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Solution

The fourth proportional to 10,097.16, 13,931.94 and 6,369 is: 8,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.16 : 13,931.94 = 6,369 : x
  2. Step 2: Convert to fraction form
    10,097.16/13,931.94 = 6,369/x
  3. Step 3: Cross multiply
    10,097.16x = 13,931.94 × 6,369
  4. Step 4: Simplify right side
    10,097.16x = 88,732,525.86
  5. Step 5: Solve for x
    x = 88,732,525.86/10,097.16
  6. Step 6: Final answer
    x = 8,787.87

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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.