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Finding the Fourth Proportional to 9,782.60, 14,654.70 and 5,875.40

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Solution

The fourth proportional to 9,782.60, 14,654.70 and 5,875.40 is: 8,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.60 : 14,654.70 = 5,875.40 : x
  2. Step 2: Convert to fraction form
    9,782.60/14,654.70 = 5,875.40/x
  3. Step 3: Cross multiply
    9,782.60x = 14,654.70 × 5,875.40
  4. Step 4: Simplify right side
    9,782.60x = 86,102,224.38
  5. Step 5: Solve for x
    x = 86,102,224.38/9,782.60
  6. Step 6: Final answer
    x = 8,801.57

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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.