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Finding the Fourth Proportional to 9,746.25, 14,595.48 and 9,498.39

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Solution

The fourth proportional to 9,746.25, 14,595.48 and 9,498.39 is: 14,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.25 : 14,595.48 = 9,498.39 : x
  2. Step 2: Convert to fraction form
    9,746.25/14,595.48 = 9,498.39/x
  3. Step 3: Cross multiply
    9,746.25x = 14,595.48 × 9,498.39
  4. Step 4: Simplify right side
    9,746.25x = 138,633,561.28
  5. Step 5: Solve for x
    x = 138,633,561.28/9,746.25
  6. Step 6: Final answer
    x = 14,224.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.