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Finding the Fourth Proportional to 9,408.46, 12,985.02 and 5,430.94

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Solution

The fourth proportional to 9,408.46, 12,985.02 and 5,430.94 is: 7,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.46 : 12,985.02 = 5,430.94 : x
  2. Step 2: Convert to fraction form
    9,408.46/12,985.02 = 5,430.94/x
  3. Step 3: Cross multiply
    9,408.46x = 12,985.02 × 5,430.94
  4. Step 4: Simplify right side
    9,408.46x = 70,520,864.52
  5. Step 5: Solve for x
    x = 70,520,864.52/9,408.46
  6. Step 6: Final answer
    x = 7,495.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.