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Finding the Fourth Proportional to 9,616.40, 14,449.98 and 5,177.35

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Solution

The fourth proportional to 9,616.40, 14,449.98 and 5,177.35 is: 7,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.40 : 14,449.98 = 5,177.35 : x
  2. Step 2: Convert to fraction form
    9,616.40/14,449.98 = 5,177.35/x
  3. Step 3: Cross multiply
    9,616.40x = 14,449.98 × 5,177.35
  4. Step 4: Simplify right side
    9,616.40x = 74,812,602.60
  5. Step 5: Solve for x
    x = 74,812,602.60/9,616.40
  6. Step 6: Final answer
    x = 7,779.69

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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.