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Finding the Fourth Proportional to 9,577.34, 14,377 and 5,690.02

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Solution

The fourth proportional to 9,577.34, 14,377 and 5,690.02 is: 8,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.34 : 14,377 = 5,690.02 : x
  2. Step 2: Convert to fraction form
    9,577.34/14,377 = 5,690.02/x
  3. Step 3: Cross multiply
    9,577.34x = 14,377 × 5,690.02
  4. Step 4: Simplify right side
    9,577.34x = 81,805,417.54
  5. Step 5: Solve for x
    x = 81,805,417.54/9,577.34
  6. Step 6: Final answer
    x = 8,541.56

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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.