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Finding the Fourth Proportional to 9,853.18, 13,597.38 and 7,025.47

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Solution

The fourth proportional to 9,853.18, 13,597.38 and 7,025.47 is: 9,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.18 : 13,597.38 = 7,025.47 : x
  2. Step 2: Convert to fraction form
    9,853.18/13,597.38 = 7,025.47/x
  3. Step 3: Cross multiply
    9,853.18x = 13,597.38 × 7,025.47
  4. Step 4: Simplify right side
    9,853.18x = 95,528,027.76
  5. Step 5: Solve for x
    x = 95,528,027.76/9,853.18
  6. Step 6: Final answer
    x = 9,695.15

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Why These Related Problems?

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