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Finding the Fourth Proportional to 9,719.66, 13,413.14 and 5,470.96

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Solution

The fourth proportional to 9,719.66, 13,413.14 and 5,470.96 is: 7,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.66 : 13,413.14 = 5,470.96 : x
  2. Step 2: Convert to fraction form
    9,719.66/13,413.14 = 5,470.96/x
  3. Step 3: Cross multiply
    9,719.66x = 13,413.14 × 5,470.96
  4. Step 4: Simplify right side
    9,719.66x = 73,382,711.38
  5. Step 5: Solve for x
    x = 73,382,711.38/9,719.66
  6. Step 6: Final answer
    x = 7,549.93

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Why These Related Problems?

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