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Finding the Fourth Proportional to 9,457.48, 14,171.71 and 5,509.95

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Solution

The fourth proportional to 9,457.48, 14,171.71 and 5,509.95 is: 8,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.48 : 14,171.71 = 5,509.95 : x
  2. Step 2: Convert to fraction form
    9,457.48/14,171.71 = 5,509.95/x
  3. Step 3: Cross multiply
    9,457.48x = 14,171.71 × 5,509.95
  4. Step 4: Simplify right side
    9,457.48x = 78,085,413.51
  5. Step 5: Solve for x
    x = 78,085,413.51/9,457.48
  6. Step 6: Final answer
    x = 8,256.47

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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.