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Finding the Fourth Proportional to 9,942.18, 14,909.22 and 4,320.24

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Solution

The fourth proportional to 9,942.18, 14,909.22 and 4,320.24 is: 6,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.18 : 14,909.22 = 4,320.24 : x
  2. Step 2: Convert to fraction form
    9,942.18/14,909.22 = 4,320.24/x
  3. Step 3: Cross multiply
    9,942.18x = 14,909.22 × 4,320.24
  4. Step 4: Simplify right side
    9,942.18x = 64,411,408.61
  5. Step 5: Solve for x
    x = 64,411,408.61/9,942.18
  6. Step 6: Final answer
    x = 6,478.60

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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.