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Finding the Fourth Proportional to 9,656.72, 13,325.15 and 5,407.19

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Solution

The fourth proportional to 9,656.72, 13,325.15 and 5,407.19 is: 7,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.72 : 13,325.15 = 5,407.19 : x
  2. Step 2: Convert to fraction form
    9,656.72/13,325.15 = 5,407.19/x
  3. Step 3: Cross multiply
    9,656.72x = 13,325.15 × 5,407.19
  4. Step 4: Simplify right side
    9,656.72x = 72,051,524.17
  5. Step 5: Solve for x
    x = 72,051,524.17/9,656.72
  6. Step 6: Final answer
    x = 7,461.29

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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.