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Finding the Fourth Proportional to 9,503.36, 13,114.38 and 5,312.42

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Solution

The fourth proportional to 9,503.36, 13,114.38 and 5,312.42 is: 7,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.36 : 13,114.38 = 5,312.42 : x
  2. Step 2: Convert to fraction form
    9,503.36/13,114.38 = 5,312.42/x
  3. Step 3: Cross multiply
    9,503.36x = 13,114.38 × 5,312.42
  4. Step 4: Simplify right side
    9,503.36x = 69,669,094.60
  5. Step 5: Solve for x
    x = 69,669,094.60/9,503.36
  6. Step 6: Final answer
    x = 7,331.00

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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.