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Finding the Fourth Proportional to 9,501.10, 13,103 and 7,913.02

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Solution

The fourth proportional to 9,501.10, 13,103 and 7,913.02 is: 10,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.10 : 13,103 = 7,913.02 : x
  2. Step 2: Convert to fraction form
    9,501.10/13,103 = 7,913.02/x
  3. Step 3: Cross multiply
    9,501.10x = 13,103 × 7,913.02
  4. Step 4: Simplify right side
    9,501.10x = 103,684,301.06
  5. Step 5: Solve for x
    x = 103,684,301.06/9,501.10
  6. Step 6: Final answer
    x = 10,912.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.