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Finding the Fourth Proportional to 34,734.34, 52,095.48 and 9,768.47

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Solution

The fourth proportional to 34,734.34, 52,095.48 and 9,768.47 is: 14,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734.34 : 52,095.48 = 9,768.47 : x
  2. Step 2: Convert to fraction form
    34,734.34/52,095.48 = 9,768.47/x
  3. Step 3: Cross multiply
    34,734.34x = 52,095.48 × 9,768.47
  4. Step 4: Simplify right side
    34,734.34x = 508,893,133.52
  5. Step 5: Solve for x
    x = 508,893,133.52/34,734.34
  6. Step 6: Final answer
    x = 14,651.01

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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.