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Finding the Fourth Proportional to 9,783.60, 14,675.40 and 4,240.94

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Solution

The fourth proportional to 9,783.60, 14,675.40 and 4,240.94 is: 6,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.60 : 14,675.40 = 4,240.94 : x
  2. Step 2: Convert to fraction form
    9,783.60/14,675.40 = 4,240.94/x
  3. Step 3: Cross multiply
    9,783.60x = 14,675.40 × 4,240.94
  4. Step 4: Simplify right side
    9,783.60x = 62,237,417.50
  5. Step 5: Solve for x
    x = 62,237,417.50/9,783.60
  6. Step 6: Final answer
    x = 6,361.40

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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.