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Finding the Fourth Proportional to 9,714.06, 14,562.54 and 6,420.24

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Solution

The fourth proportional to 9,714.06, 14,562.54 and 6,420.24 is: 9,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.06 : 14,562.54 = 6,420.24 : x
  2. Step 2: Convert to fraction form
    9,714.06/14,562.54 = 6,420.24/x
  3. Step 3: Cross multiply
    9,714.06x = 14,562.54 × 6,420.24
  4. Step 4: Simplify right side
    9,714.06x = 93,495,001.81
  5. Step 5: Solve for x
    x = 93,495,001.81/9,714.06
  6. Step 6: Final answer
    x = 9,624.71

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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.