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Finding the Fourth Proportional to 9,415.79, 14,106.47 and 4,408.98

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Solution

The fourth proportional to 9,415.79, 14,106.47 and 4,408.98 is: 6,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.79 : 14,106.47 = 4,408.98 : x
  2. Step 2: Convert to fraction form
    9,415.79/14,106.47 = 4,408.98/x
  3. Step 3: Cross multiply
    9,415.79x = 14,106.47 × 4,408.98
  4. Step 4: Simplify right side
    9,415.79x = 62,195,144.10
  5. Step 5: Solve for x
    x = 62,195,144.10/9,415.79
  6. Step 6: Final answer
    x = 6,605.41

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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.