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Finding the Fourth Proportional to 9,983.79, 14,989.35 and 6,275.01

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Solution

The fourth proportional to 9,983.79, 14,989.35 and 6,275.01 is: 9,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.79 : 14,989.35 = 6,275.01 : x
  2. Step 2: Convert to fraction form
    9,983.79/14,989.35 = 6,275.01/x
  3. Step 3: Cross multiply
    9,983.79x = 14,989.35 × 6,275.01
  4. Step 4: Simplify right side
    9,983.79x = 94,058,321.14
  5. Step 5: Solve for x
    x = 94,058,321.14/9,983.79
  6. Step 6: Final answer
    x = 9,421.10

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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.