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Finding the Fourth Proportional to 9,701.64, 13,387.86 and 5,510.12

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Solution

The fourth proportional to 9,701.64, 13,387.86 and 5,510.12 is: 7,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.64 : 13,387.86 = 5,510.12 : x
  2. Step 2: Convert to fraction form
    9,701.64/13,387.86 = 5,510.12/x
  3. Step 3: Cross multiply
    9,701.64x = 13,387.86 × 5,510.12
  4. Step 4: Simplify right side
    9,701.64x = 73,768,715.14
  5. Step 5: Solve for x
    x = 73,768,715.14/9,701.64
  6. Step 6: Final answer
    x = 7,603.74

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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.