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Finding the Fourth Proportional to 9,656.64, 13,325.76 and 5,465.12

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Solution

The fourth proportional to 9,656.64, 13,325.76 and 5,465.12 is: 7,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 13,325.76 = 5,465.12 : x
  2. Step 2: Convert to fraction form
    9,656.64/13,325.76 = 5,465.12/x
  3. Step 3: Cross multiply
    9,656.64x = 13,325.76 × 5,465.12
  4. Step 4: Simplify right side
    9,656.64x = 72,826,877.49
  5. Step 5: Solve for x
    x = 72,826,877.49/9,656.64
  6. Step 6: Final answer
    x = 7,541.64

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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.