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Finding the Fourth Proportional to 9,530.08, 13,158.06 and 5,946.46

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Solution

The fourth proportional to 9,530.08, 13,158.06 and 5,946.46 is: 8,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.08 : 13,158.06 = 5,946.46 : x
  2. Step 2: Convert to fraction form
    9,530.08/13,158.06 = 5,946.46/x
  3. Step 3: Cross multiply
    9,530.08x = 13,158.06 × 5,946.46
  4. Step 4: Simplify right side
    9,530.08x = 78,243,877.47
  5. Step 5: Solve for x
    x = 78,243,877.47/9,530.08
  6. Step 6: Final answer
    x = 8,210.20

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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.