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Finding the Fourth Proportional to 9,388.08, 12,942 and 7,505.28

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Solution

The fourth proportional to 9,388.08, 12,942 and 7,505.28 is: 10,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.08 : 12,942 = 7,505.28 : x
  2. Step 2: Convert to fraction form
    9,388.08/12,942 = 7,505.28/x
  3. Step 3: Cross multiply
    9,388.08x = 12,942 × 7,505.28
  4. Step 4: Simplify right side
    9,388.08x = 97,133,333.76
  5. Step 5: Solve for x
    x = 97,133,333.76/9,388.08
  6. Step 6: Final answer
    x = 10,346.45

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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.