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Finding the Fourth Proportional to 9,719.20, 13,413.54 and 5,527

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Solution

The fourth proportional to 9,719.20, 13,413.54 and 5,527 is: 7,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.20 : 13,413.54 = 5,527 : x
  2. Step 2: Convert to fraction form
    9,719.20/13,413.54 = 5,527/x
  3. Step 3: Cross multiply
    9,719.20x = 13,413.54 × 5,527
  4. Step 4: Simplify right side
    9,719.20x = 74,136,635.58
  5. Step 5: Solve for x
    x = 74,136,635.58/9,719.20
  6. Step 6: Final answer
    x = 7,627.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.