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Finding the Fourth Proportional to 9,577.80, 14,361.84 and 4,897.08

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Solution

The fourth proportional to 9,577.80, 14,361.84 and 4,897.08 is: 7,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.80 : 14,361.84 = 4,897.08 : x
  2. Step 2: Convert to fraction form
    9,577.80/14,361.84 = 4,897.08/x
  3. Step 3: Cross multiply
    9,577.80x = 14,361.84 × 4,897.08
  4. Step 4: Simplify right side
    9,577.80x = 70,331,079.43
  5. Step 5: Solve for x
    x = 70,331,079.43/9,577.80
  6. Step 6: Final answer
    x = 7,343.14

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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.