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Finding the Fourth Proportional to 9,582.57, 14,386.01 and 9,188.91

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Solution

The fourth proportional to 9,582.57, 14,386.01 and 9,188.91 is: 13,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.57 : 14,386.01 = 9,188.91 : x
  2. Step 2: Convert to fraction form
    9,582.57/14,386.01 = 9,188.91/x
  3. Step 3: Cross multiply
    9,582.57x = 14,386.01 × 9,188.91
  4. Step 4: Simplify right side
    9,582.57x = 132,191,705.20
  5. Step 5: Solve for x
    x = 132,191,705.20/9,582.57
  6. Step 6: Final answer
    x = 13,795.02

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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.