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Finding the Fourth Proportional to 9,091.68, 12,547.44 and 6,113.76

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Solution

The fourth proportional to 9,091.68, 12,547.44 and 6,113.76 is: 8,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.68 : 12,547.44 = 6,113.76 : x
  2. Step 2: Convert to fraction form
    9,091.68/12,547.44 = 6,113.76/x
  3. Step 3: Cross multiply
    9,091.68x = 12,547.44 × 6,113.76
  4. Step 4: Simplify right side
    9,091.68x = 76,712,036.77
  5. Step 5: Solve for x
    x = 76,712,036.77/9,091.68
  6. Step 6: Final answer
    x = 8,437.61

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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.