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Finding the Fourth Proportional to 9,624.16, 13,293.84 and 7,111.84

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Solution

The fourth proportional to 9,624.16, 13,293.84 and 7,111.84 is: 9,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.16 : 13,293.84 = 7,111.84 : x
  2. Step 2: Convert to fraction form
    9,624.16/13,293.84 = 7,111.84/x
  3. Step 3: Cross multiply
    9,624.16x = 13,293.84 × 7,111.84
  4. Step 4: Simplify right side
    9,624.16x = 94,543,663.07
  5. Step 5: Solve for x
    x = 94,543,663.07/9,624.16
  6. Step 6: Final answer
    x = 9,823.58

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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.