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Finding the Fourth Proportional to 10,612.91, 15,925.34 and 9,776.38

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Solution

The fourth proportional to 10,612.91, 15,925.34 and 9,776.38 is: 14,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.91 : 15,925.34 = 9,776.38 : x
  2. Step 2: Convert to fraction form
    10,612.91/15,925.34 = 9,776.38/x
  3. Step 3: Cross multiply
    10,612.91x = 15,925.34 × 9,776.38
  4. Step 4: Simplify right side
    10,612.91x = 155,692,086.77
  5. Step 5: Solve for x
    x = 155,692,086.77/10,612.91
  6. Step 6: Final answer
    x = 14,670.07

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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.