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Finding the Fourth Proportional to 9,592.84, 14,385.48 and 4,661.02

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Solution

The fourth proportional to 9,592.84, 14,385.48 and 4,661.02 is: 6,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.84 : 14,385.48 = 4,661.02 : x
  2. Step 2: Convert to fraction form
    9,592.84/14,385.48 = 4,661.02/x
  3. Step 3: Cross multiply
    9,592.84x = 14,385.48 × 4,661.02
  4. Step 4: Simplify right side
    9,592.84x = 67,051,009.99
  5. Step 5: Solve for x
    x = 67,051,009.99/9,592.84
  6. Step 6: Final answer
    x = 6,989.69

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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.