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Finding the Fourth Proportional to 9,483, 13,086.54 and 5,291.28

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Solution

The fourth proportional to 9,483, 13,086.54 and 5,291.28 is: 7,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483 : 13,086.54 = 5,291.28 : x
  2. Step 2: Convert to fraction form
    9,483/13,086.54 = 5,291.28/x
  3. Step 3: Cross multiply
    9,483x = 13,086.54 × 5,291.28
  4. Step 4: Simplify right side
    9,483x = 69,244,547.37
  5. Step 5: Solve for x
    x = 69,244,547.37/9,483
  6. Step 6: Final answer
    x = 7,301.97

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