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Finding the Fourth Proportional to 9,783.59, 14,681.55 and 5,112.01

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Solution

The fourth proportional to 9,783.59, 14,681.55 and 5,112.01 is: 7,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.59 : 14,681.55 = 5,112.01 : x
  2. Step 2: Convert to fraction form
    9,783.59/14,681.55 = 5,112.01/x
  3. Step 3: Cross multiply
    9,783.59x = 14,681.55 × 5,112.01
  4. Step 4: Simplify right side
    9,783.59x = 75,052,267.94
  5. Step 5: Solve for x
    x = 75,052,267.94/9,783.59
  6. Step 6: Final answer
    x = 7,671.24

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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.