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Finding the Fourth Proportional to 9,737.40, 14,577.75 and 7,283.10

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Solution

The fourth proportional to 9,737.40, 14,577.75 and 7,283.10 is: 10,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.40 : 14,577.75 = 7,283.10 : x
  2. Step 2: Convert to fraction form
    9,737.40/14,577.75 = 7,283.10/x
  3. Step 3: Cross multiply
    9,737.40x = 14,577.75 × 7,283.10
  4. Step 4: Simplify right side
    9,737.40x = 106,171,211.03
  5. Step 5: Solve for x
    x = 106,171,211.03/9,737.40
  6. Step 6: Final answer
    x = 10,903.45

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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.