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Finding the Fourth Proportional to 9,783.93, 14,662.91 and 5,330.17

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Solution

The fourth proportional to 9,783.93, 14,662.91 and 5,330.17 is: 7,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.93 : 14,662.91 = 5,330.17 : x
  2. Step 2: Convert to fraction form
    9,783.93/14,662.91 = 5,330.17/x
  3. Step 3: Cross multiply
    9,783.93x = 14,662.91 × 5,330.17
  4. Step 4: Simplify right side
    9,783.93x = 78,155,779.66
  5. Step 5: Solve for x
    x = 78,155,779.66/9,783.93
  6. Step 6: Final answer
    x = 7,988.18

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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.