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Finding the Fourth Proportional to 9,570.84, 14,347.60 and 3,413.40

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Solution

The fourth proportional to 9,570.84, 14,347.60 and 3,413.40 is: 5,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.84 : 14,347.60 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    9,570.84/14,347.60 = 3,413.40/x
  3. Step 3: Cross multiply
    9,570.84x = 14,347.60 × 3,413.40
  4. Step 4: Simplify right side
    9,570.84x = 48,974,097.84
  5. Step 5: Solve for x
    x = 48,974,097.84/9,570.84
  6. Step 6: Final answer
    x = 5,117.01

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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.