Home / 9,823.92-14,742.36-5,210.16

Finding the Fourth Proportional to 9,823.92, 14,742.36 and 5,210.16

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Solution

The fourth proportional to 9,823.92, 14,742.36 and 5,210.16 is: 7,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.92 : 14,742.36 = 5,210.16 : x
  2. Step 2: Convert to fraction form
    9,823.92/14,742.36 = 5,210.16/x
  3. Step 3: Cross multiply
    9,823.92x = 14,742.36 × 5,210.16
  4. Step 4: Simplify right side
    9,823.92x = 76,810,054.38
  5. Step 5: Solve for x
    x = 76,810,054.38/9,823.92
  6. Step 6: Final answer
    x = 7,818.68

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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.