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Finding the Fourth Proportional to 9,720.51, 13,413.80 and 5,472.26

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Solution

The fourth proportional to 9,720.51, 13,413.80 and 5,472.26 is: 7,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.51 : 13,413.80 = 5,472.26 : x
  2. Step 2: Convert to fraction form
    9,720.51/13,413.80 = 5,472.26/x
  3. Step 3: Cross multiply
    9,720.51x = 13,413.80 × 5,472.26
  4. Step 4: Simplify right side
    9,720.51x = 73,403,798.10
  5. Step 5: Solve for x
    x = 73,403,798.10/9,720.51
  6. Step 6: Final answer
    x = 7,551.44

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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.