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Finding the Fourth Proportional to 9,690.67, 14,533.73 and 3,116.93

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Solution

The fourth proportional to 9,690.67, 14,533.73 and 3,116.93 is: 4,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.67 : 14,533.73 = 3,116.93 : x
  2. Step 2: Convert to fraction form
    9,690.67/14,533.73 = 3,116.93/x
  3. Step 3: Cross multiply
    9,690.67x = 14,533.73 × 3,116.93
  4. Step 4: Simplify right side
    9,690.67x = 45,300,603.46
  5. Step 5: Solve for x
    x = 45,300,603.46/9,690.67
  6. Step 6: Final answer
    x = 4,674.66

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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.