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Finding the Fourth Proportional to 9,602.68, 13,242.91 and 6,582.19

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Solution

The fourth proportional to 9,602.68, 13,242.91 and 6,582.19 is: 9,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.68 : 13,242.91 = 6,582.19 : x
  2. Step 2: Convert to fraction form
    9,602.68/13,242.91 = 6,582.19/x
  3. Step 3: Cross multiply
    9,602.68x = 13,242.91 × 6,582.19
  4. Step 4: Simplify right side
    9,602.68x = 87,167,349.77
  5. Step 5: Solve for x
    x = 87,167,349.77/9,602.68
  6. Step 6: Final answer
    x = 9,077.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.