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Finding the Fourth Proportional to 9,588.10, 14,374.94 and 6,459.32

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Solution

The fourth proportional to 9,588.10, 14,374.94 and 6,459.32 is: 9,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.10 : 14,374.94 = 6,459.32 : x
  2. Step 2: Convert to fraction form
    9,588.10/14,374.94 = 6,459.32/x
  3. Step 3: Cross multiply
    9,588.10x = 14,374.94 × 6,459.32
  4. Step 4: Simplify right side
    9,588.10x = 92,852,355.15
  5. Step 5: Solve for x
    x = 92,852,355.15/9,588.10
  6. Step 6: Final answer
    x = 9,684.13

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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.