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Finding the Fourth Proportional to 9,656.64, 14,466.24 and 5,484.06

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Solution

The fourth proportional to 9,656.64, 14,466.24 and 5,484.06 is: 8,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 14,466.24 = 5,484.06 : x
  2. Step 2: Convert to fraction form
    9,656.64/14,466.24 = 5,484.06/x
  3. Step 3: Cross multiply
    9,656.64x = 14,466.24 × 5,484.06
  4. Step 4: Simplify right side
    9,656.64x = 79,333,728.13
  5. Step 5: Solve for x
    x = 79,333,728.13/9,656.64
  6. Step 6: Final answer
    x = 8,215.46

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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.