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Finding the Fourth Proportional to 9,031.68, 13,547.16 and 3,482.64

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Solution

The fourth proportional to 9,031.68, 13,547.16 and 3,482.64 is: 5,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.68 : 13,547.16 = 3,482.64 : x
  2. Step 2: Convert to fraction form
    9,031.68/13,547.16 = 3,482.64/x
  3. Step 3: Cross multiply
    9,031.68x = 13,547.16 × 3,482.64
  4. Step 4: Simplify right side
    9,031.68x = 47,179,881.30
  5. Step 5: Solve for x
    x = 47,179,881.30/9,031.68
  6. Step 6: Final answer
    x = 5,223.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.