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Finding the Fourth Proportional to 9,428.10, 14,148.10 and 5,270.84

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Solution

The fourth proportional to 9,428.10, 14,148.10 and 5,270.84 is: 7,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.10 : 14,148.10 = 5,270.84 : x
  2. Step 2: Convert to fraction form
    9,428.10/14,148.10 = 5,270.84/x
  3. Step 3: Cross multiply
    9,428.10x = 14,148.10 × 5,270.84
  4. Step 4: Simplify right side
    9,428.10x = 74,572,300.66
  5. Step 5: Solve for x
    x = 74,572,300.66/9,428.10
  6. Step 6: Final answer
    x = 7,909.58

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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.