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Finding the Fourth Proportional to 9,572.84, 13,203.94 and 5,848.68

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Solution

The fourth proportional to 9,572.84, 13,203.94 and 5,848.68 is: 8,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.84 : 13,203.94 = 5,848.68 : x
  2. Step 2: Convert to fraction form
    9,572.84/13,203.94 = 5,848.68/x
  3. Step 3: Cross multiply
    9,572.84x = 13,203.94 × 5,848.68
  4. Step 4: Simplify right side
    9,572.84x = 77,225,619.80
  5. Step 5: Solve for x
    x = 77,225,619.80/9,572.84
  6. Step 6: Final answer
    x = 8,067.16

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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.