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Finding the Fourth Proportional to 9,728.48, 13,412.04 and 7,076

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Solution

The fourth proportional to 9,728.48, 13,412.04 and 7,076 is: 9,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.48 : 13,412.04 = 7,076 : x
  2. Step 2: Convert to fraction form
    9,728.48/13,412.04 = 7,076/x
  3. Step 3: Cross multiply
    9,728.48x = 13,412.04 × 7,076
  4. Step 4: Simplify right side
    9,728.48x = 94,903,595.04
  5. Step 5: Solve for x
    x = 94,903,595.04/9,728.48
  6. Step 6: Final answer
    x = 9,755.23

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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.