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Finding the Fourth Proportional to 9,413.61, 14,125.10 and 6,657.99

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Solution

The fourth proportional to 9,413.61, 14,125.10 and 6,657.99 is: 9,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.61 : 14,125.10 = 6,657.99 : x
  2. Step 2: Convert to fraction form
    9,413.61/14,125.10 = 6,657.99/x
  3. Step 3: Cross multiply
    9,413.61x = 14,125.10 × 6,657.99
  4. Step 4: Simplify right side
    9,413.61x = 94,044,741.26
  5. Step 5: Solve for x
    x = 94,044,741.26/9,413.61
  6. Step 6: Final answer
    x = 9,990.30

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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.