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Finding the Fourth Proportional to 9,413.76, 14,051.88 and 8,728.50

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Solution

The fourth proportional to 9,413.76, 14,051.88 and 8,728.50 is: 13,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.76 : 14,051.88 = 8,728.50 : x
  2. Step 2: Convert to fraction form
    9,413.76/14,051.88 = 8,728.50/x
  3. Step 3: Cross multiply
    9,413.76x = 14,051.88 × 8,728.50
  4. Step 4: Simplify right side
    9,413.76x = 122,651,834.58
  5. Step 5: Solve for x
    x = 122,651,834.58/9,413.76
  6. Step 6: Final answer
    x = 13,029.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.