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Finding the Fourth Proportional to 9,259.44, 13,894.92 and 3,417.36

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Solution

The fourth proportional to 9,259.44, 13,894.92 and 3,417.36 is: 5,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.44 : 13,894.92 = 3,417.36 : x
  2. Step 2: Convert to fraction form
    9,259.44/13,894.92 = 3,417.36/x
  3. Step 3: Cross multiply
    9,259.44x = 13,894.92 × 3,417.36
  4. Step 4: Simplify right side
    9,259.44x = 47,483,943.81
  5. Step 5: Solve for x
    x = 47,483,943.81/9,259.44
  6. Step 6: Final answer
    x = 5,128.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.