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Finding the Fourth Proportional to 9,708.09, 13,398.08 and 5,460.21

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Solution

The fourth proportional to 9,708.09, 13,398.08 and 5,460.21 is: 7,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.09 : 13,398.08 = 5,460.21 : x
  2. Step 2: Convert to fraction form
    9,708.09/13,398.08 = 5,460.21/x
  3. Step 3: Cross multiply
    9,708.09x = 13,398.08 × 5,460.21
  4. Step 4: Simplify right side
    9,708.09x = 73,156,303.10
  5. Step 5: Solve for x
    x = 73,156,303.10/9,708.09
  6. Step 6: Final answer
    x = 7,535.60

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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.