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Finding the Fourth Proportional to 6,597.96, 9,888.32 and 5,032.23

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Solution

The fourth proportional to 6,597.96, 9,888.32 and 5,032.23 is: 7,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.96 : 9,888.32 = 5,032.23 : x
  2. Step 2: Convert to fraction form
    6,597.96/9,888.32 = 5,032.23/x
  3. Step 3: Cross multiply
    6,597.96x = 9,888.32 × 5,032.23
  4. Step 4: Simplify right side
    6,597.96x = 49,760,275.39
  5. Step 5: Solve for x
    x = 49,760,275.39/6,597.96
  6. Step 6: Final answer
    x = 7,541.77

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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.