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Finding the Fourth Proportional to 9,502.83, 14,261.54 and 9,015.02

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Solution

The fourth proportional to 9,502.83, 14,261.54 and 9,015.02 is: 13,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.83 : 14,261.54 = 9,015.02 : x
  2. Step 2: Convert to fraction form
    9,502.83/14,261.54 = 9,015.02/x
  3. Step 3: Cross multiply
    9,502.83x = 14,261.54 × 9,015.02
  4. Step 4: Simplify right side
    9,502.83x = 128,568,068.33
  5. Step 5: Solve for x
    x = 128,568,068.33/9,502.83
  6. Step 6: Final answer
    x = 13,529.45

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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.