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Finding the Fourth Proportional to 9,428.02, 13,015.47 and 7,298.80

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Solution

The fourth proportional to 9,428.02, 13,015.47 and 7,298.80 is: 10,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.02 : 13,015.47 = 7,298.80 : x
  2. Step 2: Convert to fraction form
    9,428.02/13,015.47 = 7,298.80/x
  3. Step 3: Cross multiply
    9,428.02x = 13,015.47 × 7,298.80
  4. Step 4: Simplify right side
    9,428.02x = 94,997,312.44
  5. Step 5: Solve for x
    x = 94,997,312.44/9,428.02
  6. Step 6: Final answer
    x = 10,076.06

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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.