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Finding the Fourth Proportional to 9,543.04, 13,174.35 and 7,413.82

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Solution

The fourth proportional to 9,543.04, 13,174.35 and 7,413.82 is: 10,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.04 : 13,174.35 = 7,413.82 : x
  2. Step 2: Convert to fraction form
    9,543.04/13,174.35 = 7,413.82/x
  3. Step 3: Cross multiply
    9,543.04x = 13,174.35 × 7,413.82
  4. Step 4: Simplify right side
    9,543.04x = 97,672,259.52
  5. Step 5: Solve for x
    x = 97,672,259.52/9,543.04
  6. Step 6: Final answer
    x = 10,234.92

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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.