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Finding the Fourth Proportional to 9,856.16, 13,607.04 and 6,835.68

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Solution

The fourth proportional to 9,856.16, 13,607.04 and 6,835.68 is: 9,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.16 : 13,607.04 = 6,835.68 : x
  2. Step 2: Convert to fraction form
    9,856.16/13,607.04 = 6,835.68/x
  3. Step 3: Cross multiply
    9,856.16x = 13,607.04 × 6,835.68
  4. Step 4: Simplify right side
    9,856.16x = 93,013,371.19
  5. Step 5: Solve for x
    x = 93,013,371.19/9,856.16
  6. Step 6: Final answer
    x = 9,437.08

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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.