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Finding the Fourth Proportional to 9,548.69, 14,316.08 and 6,420.92

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Solution

The fourth proportional to 9,548.69, 14,316.08 and 6,420.92 is: 9,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.69 : 14,316.08 = 6,420.92 : x
  2. Step 2: Convert to fraction form
    9,548.69/14,316.08 = 6,420.92/x
  3. Step 3: Cross multiply
    9,548.69x = 14,316.08 × 6,420.92
  4. Step 4: Simplify right side
    9,548.69x = 91,922,300.71
  5. Step 5: Solve for x
    x = 91,922,300.71/9,548.69
  6. Step 6: Final answer
    x = 9,626.70

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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.