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Finding the Fourth Proportional to 9,962.82, 13,746.69 and 7,572.16

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Solution

The fourth proportional to 9,962.82, 13,746.69 and 7,572.16 is: 10,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.82 : 13,746.69 = 7,572.16 : x
  2. Step 2: Convert to fraction form
    9,962.82/13,746.69 = 7,572.16/x
  3. Step 3: Cross multiply
    9,962.82x = 13,746.69 × 7,572.16
  4. Step 4: Simplify right side
    9,962.82x = 104,092,093.37
  5. Step 5: Solve for x
    x = 104,092,093.37/9,962.82
  6. Step 6: Final answer
    x = 10,448.05

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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.