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Finding the Fourth Proportional to 9,678.42, 13,354.74 and 5,429.70

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Solution

The fourth proportional to 9,678.42, 13,354.74 and 5,429.70 is: 7,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.42 : 13,354.74 = 5,429.70 : x
  2. Step 2: Convert to fraction form
    9,678.42/13,354.74 = 5,429.70/x
  3. Step 3: Cross multiply
    9,678.42x = 13,354.74 × 5,429.70
  4. Step 4: Simplify right side
    9,678.42x = 72,512,231.78
  5. Step 5: Solve for x
    x = 72,512,231.78/9,678.42
  6. Step 6: Final answer
    x = 7,492.16

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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.