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Finding the Fourth Proportional to 9,608.34, 14,413.30 and 3,032.76

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Solution

The fourth proportional to 9,608.34, 14,413.30 and 3,032.76 is: 4,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.34 : 14,413.30 = 3,032.76 : x
  2. Step 2: Convert to fraction form
    9,608.34/14,413.30 = 3,032.76/x
  3. Step 3: Cross multiply
    9,608.34x = 14,413.30 × 3,032.76
  4. Step 4: Simplify right side
    9,608.34x = 43,712,079.71
  5. Step 5: Solve for x
    x = 43,712,079.71/9,608.34
  6. Step 6: Final answer
    x = 4,549.39

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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.