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Finding the Fourth Proportional to 9,607.92, 14,413.24 and 4,673.50

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Solution

The fourth proportional to 9,607.92, 14,413.24 and 4,673.50 is: 7,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.92 : 14,413.24 = 4,673.50 : x
  2. Step 2: Convert to fraction form
    9,607.92/14,413.24 = 4,673.50/x
  3. Step 3: Cross multiply
    9,607.92x = 14,413.24 × 4,673.50
  4. Step 4: Simplify right side
    9,607.92x = 67,360,246.95
  5. Step 5: Solve for x
    x = 67,360,246.95/9,607.92
  6. Step 6: Final answer
    x = 7,010.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.