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Finding the Fourth Proportional to 9,530.94, 13,145.67 and 6,547.26

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Solution

The fourth proportional to 9,530.94, 13,145.67 and 6,547.26 is: 9,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.94 : 13,145.67 = 6,547.26 : x
  2. Step 2: Convert to fraction form
    9,530.94/13,145.67 = 6,547.26/x
  3. Step 3: Cross multiply
    9,530.94x = 13,145.67 × 6,547.26
  4. Step 4: Simplify right side
    9,530.94x = 86,068,119.36
  5. Step 5: Solve for x
    x = 86,068,119.36/9,530.94
  6. Step 6: Final answer
    x = 9,030.39

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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.