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Finding the Fourth Proportional to 9,497.76, 13,106.66 and 5,306.01

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Solution

The fourth proportional to 9,497.76, 13,106.66 and 5,306.01 is: 7,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.76 : 13,106.66 = 5,306.01 : x
  2. Step 2: Convert to fraction form
    9,497.76/13,106.66 = 5,306.01/x
  3. Step 3: Cross multiply
    9,497.76x = 13,106.66 × 5,306.01
  4. Step 4: Simplify right side
    9,497.76x = 69,544,042.50
  5. Step 5: Solve for x
    x = 69,544,042.50/9,497.76
  6. Step 6: Final answer
    x = 7,322.15

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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.