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Finding the Fourth Proportional to 9,966.72, 14,938.06 and 4,413.76

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Solution

The fourth proportional to 9,966.72, 14,938.06 and 4,413.76 is: 6,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.72 : 14,938.06 = 4,413.76 : x
  2. Step 2: Convert to fraction form
    9,966.72/14,938.06 = 4,413.76/x
  3. Step 3: Cross multiply
    9,966.72x = 14,938.06 × 4,413.76
  4. Step 4: Simplify right side
    9,966.72x = 65,933,011.71
  5. Step 5: Solve for x
    x = 65,933,011.71/9,966.72
  6. Step 6: Final answer
    x = 6,615.32

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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.