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Finding the Fourth Proportional to 9,582.26, 14,373.32 and 2,656.76

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Solution

The fourth proportional to 9,582.26, 14,373.32 and 2,656.76 is: 3,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.26 : 14,373.32 = 2,656.76 : x
  2. Step 2: Convert to fraction form
    9,582.26/14,373.32 = 2,656.76/x
  3. Step 3: Cross multiply
    9,582.26x = 14,373.32 × 2,656.76
  4. Step 4: Simplify right side
    9,582.26x = 38,186,376.49
  5. Step 5: Solve for x
    x = 38,186,376.49/9,582.26
  6. Step 6: Final answer
    x = 3,985.11

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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.