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Finding the Fourth Proportional to 7,092.64, 9,788.56 and 4,298.40

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Solution

The fourth proportional to 7,092.64, 9,788.56 and 4,298.40 is: 5,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.64 : 9,788.56 = 4,298.40 : x
  2. Step 2: Convert to fraction form
    7,092.64/9,788.56 = 4,298.40/x
  3. Step 3: Cross multiply
    7,092.64x = 9,788.56 × 4,298.40
  4. Step 4: Simplify right side
    7,092.64x = 42,075,146.30
  5. Step 5: Solve for x
    x = 42,075,146.30/7,092.64
  6. Step 6: Final answer
    x = 5,932.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.