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Finding the Fourth Proportional to 9,303.16, 12,813.40 and 8,602.48

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Solution

The fourth proportional to 9,303.16, 12,813.40 and 8,602.48 is: 11,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.16 : 12,813.40 = 8,602.48 : x
  2. Step 2: Convert to fraction form
    9,303.16/12,813.40 = 8,602.48/x
  3. Step 3: Cross multiply
    9,303.16x = 12,813.40 × 8,602.48
  4. Step 4: Simplify right side
    9,303.16x = 110,227,017.23
  5. Step 5: Solve for x
    x = 110,227,017.23/9,303.16
  6. Step 6: Final answer
    x = 11,848.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.