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Finding the Fourth Proportional to 9,612.04, 13,263.54 and 5,419.48

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Solution

The fourth proportional to 9,612.04, 13,263.54 and 5,419.48 is: 7,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.04 : 13,263.54 = 5,419.48 : x
  2. Step 2: Convert to fraction form
    9,612.04/13,263.54 = 5,419.48/x
  3. Step 3: Cross multiply
    9,612.04x = 13,263.54 × 5,419.48
  4. Step 4: Simplify right side
    9,612.04x = 71,881,489.76
  5. Step 5: Solve for x
    x = 71,881,489.76/9,612.04
  6. Step 6: Final answer
    x = 7,478.28

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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.