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Finding the Fourth Proportional to 9,472.47, 14,208.20 and 2,898.66

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Solution

The fourth proportional to 9,472.47, 14,208.20 and 2,898.66 is: 4,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.47 : 14,208.20 = 2,898.66 : x
  2. Step 2: Convert to fraction form
    9,472.47/14,208.20 = 2,898.66/x
  3. Step 3: Cross multiply
    9,472.47x = 14,208.20 × 2,898.66
  4. Step 4: Simplify right side
    9,472.47x = 41,184,741.01
  5. Step 5: Solve for x
    x = 41,184,741.01/9,472.47
  6. Step 6: Final answer
    x = 4,347.84

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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.