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Finding the Fourth Proportional to 9,655.10, 14,466.45 and 4,714.10

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Solution

The fourth proportional to 9,655.10, 14,466.45 and 4,714.10 is: 7,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.10 : 14,466.45 = 4,714.10 : x
  2. Step 2: Convert to fraction form
    9,655.10/14,466.45 = 4,714.10/x
  3. Step 3: Cross multiply
    9,655.10x = 14,466.45 × 4,714.10
  4. Step 4: Simplify right side
    9,655.10x = 68,196,291.95
  5. Step 5: Solve for x
    x = 68,196,291.95/9,655.10
  6. Step 6: Final answer
    x = 7,063.24

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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.