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Finding the Fourth Proportional to 9,752.10, 14,611.35 and 4,547.30

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Solution

The fourth proportional to 9,752.10, 14,611.35 and 4,547.30 is: 6,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.10 : 14,611.35 = 4,547.30 : x
  2. Step 2: Convert to fraction form
    9,752.10/14,611.35 = 4,547.30/x
  3. Step 3: Cross multiply
    9,752.10x = 14,611.35 × 4,547.30
  4. Step 4: Simplify right side
    9,752.10x = 66,442,191.86
  5. Step 5: Solve for x
    x = 66,442,191.86/9,752.10
  6. Step 6: Final answer
    x = 6,813.12

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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.