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Finding the Fourth Proportional to 9,430.90, 14,134.20 and 6,830.80

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Solution

The fourth proportional to 9,430.90, 14,134.20 and 6,830.80 is: 10,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.90 : 14,134.20 = 6,830.80 : x
  2. Step 2: Convert to fraction form
    9,430.90/14,134.20 = 6,830.80/x
  3. Step 3: Cross multiply
    9,430.90x = 14,134.20 × 6,830.80
  4. Step 4: Simplify right side
    9,430.90x = 96,547,893.36
  5. Step 5: Solve for x
    x = 96,547,893.36/9,430.90
  6. Step 6: Final answer
    x = 10,237.40

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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.