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Finding the Fourth Proportional to 9,663.98, 14,484.77 and 4,459.02

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Solution

The fourth proportional to 9,663.98, 14,484.77 and 4,459.02 is: 6,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.98 : 14,484.77 = 4,459.02 : x
  2. Step 2: Convert to fraction form
    9,663.98/14,484.77 = 4,459.02/x
  3. Step 3: Cross multiply
    9,663.98x = 14,484.77 × 4,459.02
  4. Step 4: Simplify right side
    9,663.98x = 64,587,879.13
  5. Step 5: Solve for x
    x = 64,587,879.13/9,663.98
  6. Step 6: Final answer
    x = 6,683.36

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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.