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Finding the Fourth Proportional to 9,648.47, 14,464.32 and 3,803.64

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Solution

The fourth proportional to 9,648.47, 14,464.32 and 3,803.64 is: 5,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.47 : 14,464.32 = 3,803.64 : x
  2. Step 2: Convert to fraction form
    9,648.47/14,464.32 = 3,803.64/x
  3. Step 3: Cross multiply
    9,648.47x = 14,464.32 × 3,803.64
  4. Step 4: Simplify right side
    9,648.47x = 55,017,066.12
  5. Step 5: Solve for x
    x = 55,017,066.12/9,648.47
  6. Step 6: Final answer
    x = 5,702.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.