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Finding the Fourth Proportional to 9,701.30, 13,394.13 and 7,459.04

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Solution

The fourth proportional to 9,701.30, 13,394.13 and 7,459.04 is: 10,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.30 : 13,394.13 = 7,459.04 : x
  2. Step 2: Convert to fraction form
    9,701.30/13,394.13 = 7,459.04/x
  3. Step 3: Cross multiply
    9,701.30x = 13,394.13 × 7,459.04
  4. Step 4: Simplify right side
    9,701.30x = 99,907,351.44
  5. Step 5: Solve for x
    x = 99,907,351.44/9,701.30
  6. Step 6: Final answer
    x = 10,298.35

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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.