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Finding the Fourth Proportional to 9,762.35, 14,648.38 and 7,186.55

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Solution

The fourth proportional to 9,762.35, 14,648.38 and 7,186.55 is: 10,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.35 : 14,648.38 = 7,186.55 : x
  2. Step 2: Convert to fraction form
    9,762.35/14,648.38 = 7,186.55/x
  3. Step 3: Cross multiply
    9,762.35x = 14,648.38 × 7,186.55
  4. Step 4: Simplify right side
    9,762.35x = 105,271,224.08
  5. Step 5: Solve for x
    x = 105,271,224.08/9,762.35
  6. Step 6: Final answer
    x = 10,783.40

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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.