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Finding the Fourth Proportional to 9,435.69, 14,148.68 and 3,510.14

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Solution

The fourth proportional to 9,435.69, 14,148.68 and 3,510.14 is: 5,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.69 : 14,148.68 = 3,510.14 : x
  2. Step 2: Convert to fraction form
    9,435.69/14,148.68 = 3,510.14/x
  3. Step 3: Cross multiply
    9,435.69x = 14,148.68 × 3,510.14
  4. Step 4: Simplify right side
    9,435.69x = 49,663,759.32
  5. Step 5: Solve for x
    x = 49,663,759.32/9,435.69
  6. Step 6: Final answer
    x = 5,263.39

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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.