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Finding the Fourth Proportional to 10,397.84, 14,358.60 and 6,678.32

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Solution

The fourth proportional to 10,397.84, 14,358.60 and 6,678.32 is: 9,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.84 : 14,358.60 = 6,678.32 : x
  2. Step 2: Convert to fraction form
    10,397.84/14,358.60 = 6,678.32/x
  3. Step 3: Cross multiply
    10,397.84x = 14,358.60 × 6,678.32
  4. Step 4: Simplify right side
    10,397.84x = 95,891,325.55
  5. Step 5: Solve for x
    x = 95,891,325.55/10,397.84
  6. Step 6: Final answer
    x = 9,222.24

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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.