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Finding the Fourth Proportional to 9,326.16, 14,040.30 and 8,509.68

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Solution

The fourth proportional to 9,326.16, 14,040.30 and 8,509.68 is: 12,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.16 : 14,040.30 = 8,509.68 : x
  2. Step 2: Convert to fraction form
    9,326.16/14,040.30 = 8,509.68/x
  3. Step 3: Cross multiply
    9,326.16x = 14,040.30 × 8,509.68
  4. Step 4: Simplify right side
    9,326.16x = 119,478,460.10
  5. Step 5: Solve for x
    x = 119,478,460.10/9,326.16
  6. Step 6: Final answer
    x = 12,811.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.