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Finding the Fourth Proportional to 9,617.18, 13,271.76 and 5,368.64

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Solution

The fourth proportional to 9,617.18, 13,271.76 and 5,368.64 is: 7,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.18 : 13,271.76 = 5,368.64 : x
  2. Step 2: Convert to fraction form
    9,617.18/13,271.76 = 5,368.64/x
  3. Step 3: Cross multiply
    9,617.18x = 13,271.76 × 5,368.64
  4. Step 4: Simplify right side
    9,617.18x = 71,251,301.61
  5. Step 5: Solve for x
    x = 71,251,301.61/9,617.18
  6. Step 6: Final answer
    x = 7,408.75

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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.