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Finding the Fourth Proportional to 9,569.60, 14,368.80 and 7,380.80

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Solution

The fourth proportional to 9,569.60, 14,368.80 and 7,380.80 is: 11,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.60 : 14,368.80 = 7,380.80 : x
  2. Step 2: Convert to fraction form
    9,569.60/14,368.80 = 7,380.80/x
  3. Step 3: Cross multiply
    9,569.60x = 14,368.80 × 7,380.80
  4. Step 4: Simplify right side
    9,569.60x = 106,053,239.04
  5. Step 5: Solve for x
    x = 106,053,239.04/9,569.60
  6. Step 6: Final answer
    x = 11,082.31

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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.