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Finding the Fourth Proportional to 9,501.18, 14,238 and 6,536.58

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Solution

The fourth proportional to 9,501.18, 14,238 and 6,536.58 is: 9,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.18 : 14,238 = 6,536.58 : x
  2. Step 2: Convert to fraction form
    9,501.18/14,238 = 6,536.58/x
  3. Step 3: Cross multiply
    9,501.18x = 14,238 × 6,536.58
  4. Step 4: Simplify right side
    9,501.18x = 93,067,826.04
  5. Step 5: Solve for x
    x = 93,067,826.04/9,501.18
  6. Step 6: Final answer
    x = 9,795.40

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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.