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Finding the Fourth Proportional to 9,502.02, 13,111.88 and 5,523.08

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Solution

The fourth proportional to 9,502.02, 13,111.88 and 5,523.08 is: 7,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.02 : 13,111.88 = 5,523.08 : x
  2. Step 2: Convert to fraction form
    9,502.02/13,111.88 = 5,523.08/x
  3. Step 3: Cross multiply
    9,502.02x = 13,111.88 × 5,523.08
  4. Step 4: Simplify right side
    9,502.02x = 72,417,962.19
  5. Step 5: Solve for x
    x = 72,417,962.19/9,502.02
  6. Step 6: Final answer
    x = 7,621.32

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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.