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Finding the Fourth Proportional to 9,030.24, 12,434.04 and 7,904.88

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Solution

The fourth proportional to 9,030.24, 12,434.04 and 7,904.88 is: 10,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.24 : 12,434.04 = 7,904.88 : x
  2. Step 2: Convert to fraction form
    9,030.24/12,434.04 = 7,904.88/x
  3. Step 3: Cross multiply
    9,030.24x = 12,434.04 × 7,904.88
  4. Step 4: Simplify right side
    9,030.24x = 98,289,594.12
  5. Step 5: Solve for x
    x = 98,289,594.12/9,030.24
  6. Step 6: Final answer
    x = 10,884.49

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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.