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Finding the Fourth Proportional to 9,713.66, 14,570.08 and 2,788.16

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Solution

The fourth proportional to 9,713.66, 14,570.08 and 2,788.16 is: 4,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.66 : 14,570.08 = 2,788.16 : x
  2. Step 2: Convert to fraction form
    9,713.66/14,570.08 = 2,788.16/x
  3. Step 3: Cross multiply
    9,713.66x = 14,570.08 × 2,788.16
  4. Step 4: Simplify right side
    9,713.66x = 40,623,634.43
  5. Step 5: Solve for x
    x = 40,623,634.43/9,713.66
  6. Step 6: Final answer
    x = 4,182.12

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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.