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Finding the Fourth Proportional to 9,735.93, 14,603.90 and 6,275.61

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Solution

The fourth proportional to 9,735.93, 14,603.90 and 6,275.61 is: 9,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.93 : 14,603.90 = 6,275.61 : x
  2. Step 2: Convert to fraction form
    9,735.93/14,603.90 = 6,275.61/x
  3. Step 3: Cross multiply
    9,735.93x = 14,603.90 × 6,275.61
  4. Step 4: Simplify right side
    9,735.93x = 91,648,349.50
  5. Step 5: Solve for x
    x = 91,648,349.50/9,735.93
  6. Step 6: Final answer
    x = 9,413.42

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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.