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Finding the Fourth Proportional to 9,812.54, 13,543.40 and 6,035.72

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Solution

The fourth proportional to 9,812.54, 13,543.40 and 6,035.72 is: 8,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.54 : 13,543.40 = 6,035.72 : x
  2. Step 2: Convert to fraction form
    9,812.54/13,543.40 = 6,035.72/x
  3. Step 3: Cross multiply
    9,812.54x = 13,543.40 × 6,035.72
  4. Step 4: Simplify right side
    9,812.54x = 81,744,117.62
  5. Step 5: Solve for x
    x = 81,744,117.62/9,812.54
  6. Step 6: Final answer
    x = 8,330.57

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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.