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Finding the Fourth Proportional to 9,719.02, 14,578.54 and 5,364.16

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Solution

The fourth proportional to 9,719.02, 14,578.54 and 5,364.16 is: 8,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.02 : 14,578.54 = 5,364.16 : x
  2. Step 2: Convert to fraction form
    9,719.02/14,578.54 = 5,364.16/x
  3. Step 3: Cross multiply
    9,719.02x = 14,578.54 × 5,364.16
  4. Step 4: Simplify right side
    9,719.02x = 78,201,521.41
  5. Step 5: Solve for x
    x = 78,201,521.41/9,719.02
  6. Step 6: Final answer
    x = 8,046.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.