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Finding the Fourth Proportional to 9,000.18, 12,421.76 and 5,465.75

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Solution

The fourth proportional to 9,000.18, 12,421.76 and 5,465.75 is: 7,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.18 : 12,421.76 = 5,465.75 : x
  2. Step 2: Convert to fraction form
    9,000.18/12,421.76 = 5,465.75/x
  3. Step 3: Cross multiply
    9,000.18x = 12,421.76 × 5,465.75
  4. Step 4: Simplify right side
    9,000.18x = 67,894,145.28
  5. Step 5: Solve for x
    x = 67,894,145.28/9,000.18
  6. Step 6: Final answer
    x = 7,543.64

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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.