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Finding the Fourth Proportional to 6,551.48, 9,038.08 and 3,897.44

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Solution

The fourth proportional to 6,551.48, 9,038.08 and 3,897.44 is: 5,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.48 : 9,038.08 = 3,897.44 : x
  2. Step 2: Convert to fraction form
    6,551.48/9,038.08 = 3,897.44/x
  3. Step 3: Cross multiply
    6,551.48x = 9,038.08 × 3,897.44
  4. Step 4: Simplify right side
    6,551.48x = 35,225,374.52
  5. Step 5: Solve for x
    x = 35,225,374.52/6,551.48
  6. Step 6: Final answer
    x = 5,376.70

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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.