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Finding the Fourth Proportional to 9,354.80, 14,010.60 and 6,417.20

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Solution

The fourth proportional to 9,354.80, 14,010.60 and 6,417.20 is: 9,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.80 : 14,010.60 = 6,417.20 : x
  2. Step 2: Convert to fraction form
    9,354.80/14,010.60 = 6,417.20/x
  3. Step 3: Cross multiply
    9,354.80x = 14,010.60 × 6,417.20
  4. Step 4: Simplify right side
    9,354.80x = 89,908,822.32
  5. Step 5: Solve for x
    x = 89,908,822.32/9,354.80
  6. Step 6: Final answer
    x = 9,610.98

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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.