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Finding the Fourth Proportional to 6,280.47, 9,421.31 and 1,897.16

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Solution

The fourth proportional to 6,280.47, 9,421.31 and 1,897.16 is: 2,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.47 : 9,421.31 = 1,897.16 : x
  2. Step 2: Convert to fraction form
    6,280.47/9,421.31 = 1,897.16/x
  3. Step 3: Cross multiply
    6,280.47x = 9,421.31 × 1,897.16
  4. Step 4: Simplify right side
    6,280.47x = 17,873,690.12
  5. Step 5: Solve for x
    x = 17,873,690.12/6,280.47
  6. Step 6: Final answer
    x = 2,845.92

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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.