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Finding the Fourth Proportional to 9,605.32, 14,413.55 and 4,058.30

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Solution

The fourth proportional to 9,605.32, 14,413.55 and 4,058.30 is: 6,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.32 : 14,413.55 = 4,058.30 : x
  2. Step 2: Convert to fraction form
    9,605.32/14,413.55 = 4,058.30/x
  3. Step 3: Cross multiply
    9,605.32x = 14,413.55 × 4,058.30
  4. Step 4: Simplify right side
    9,605.32x = 58,494,525.71
  5. Step 5: Solve for x
    x = 58,494,525.71/9,605.32
  6. Step 6: Final answer
    x = 6,089.81

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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.