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Finding the Fourth Proportional to 9,725, 13,420.58 and 5,309

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Solution

The fourth proportional to 9,725, 13,420.58 and 5,309 is: 7,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725 : 13,420.58 = 5,309 : x
  2. Step 2: Convert to fraction form
    9,725/13,420.58 = 5,309/x
  3. Step 3: Cross multiply
    9,725x = 13,420.58 × 5,309
  4. Step 4: Simplify right side
    9,725x = 71,249,859.22
  5. Step 5: Solve for x
    x = 71,249,859.22/9,725
  6. Step 6: Final answer
    x = 7,326.46

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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.