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Finding the Fourth Proportional to 9,740.84, 14,603.04 and 3,894.26

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Solution

The fourth proportional to 9,740.84, 14,603.04 and 3,894.26 is: 5,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.84 : 14,603.04 = 3,894.26 : x
  2. Step 2: Convert to fraction form
    9,740.84/14,603.04 = 3,894.26/x
  3. Step 3: Cross multiply
    9,740.84x = 14,603.04 × 3,894.26
  4. Step 4: Simplify right side
    9,740.84x = 56,868,034.55
  5. Step 5: Solve for x
    x = 56,868,034.55/9,740.84
  6. Step 6: Final answer
    x = 5,838.10

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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.