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Finding the Fourth Proportional to 7,038.37, 9,701.76 and 5,543.92

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Solution

The fourth proportional to 7,038.37, 9,701.76 and 5,543.92 is: 7,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.37 : 9,701.76 = 5,543.92 : x
  2. Step 2: Convert to fraction form
    7,038.37/9,701.76 = 5,543.92/x
  3. Step 3: Cross multiply
    7,038.37x = 9,701.76 × 5,543.92
  4. Step 4: Simplify right side
    7,038.37x = 53,785,781.30
  5. Step 5: Solve for x
    x = 53,785,781.30/7,038.37
  6. Step 6: Final answer
    x = 7,641.80

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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.