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Finding the Fourth Proportional to 9,407.52, 12,973.36 and 5,630

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Solution

The fourth proportional to 9,407.52, 12,973.36 and 5,630 is: 7,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.52 : 12,973.36 = 5,630 : x
  2. Step 2: Convert to fraction form
    9,407.52/12,973.36 = 5,630/x
  3. Step 3: Cross multiply
    9,407.52x = 12,973.36 × 5,630
  4. Step 4: Simplify right side
    9,407.52x = 73,040,016.80
  5. Step 5: Solve for x
    x = 73,040,016.80/9,407.52
  6. Step 6: Final answer
    x = 7,764.00

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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.