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Finding the Fourth Proportional to 9,808.29, 14,714.91 and 4,547.07

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Solution

The fourth proportional to 9,808.29, 14,714.91 and 4,547.07 is: 6,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.29 : 14,714.91 = 4,547.07 : x
  2. Step 2: Convert to fraction form
    9,808.29/14,714.91 = 4,547.07/x
  3. Step 3: Cross multiply
    9,808.29x = 14,714.91 × 4,547.07
  4. Step 4: Simplify right side
    9,808.29x = 66,909,725.81
  5. Step 5: Solve for x
    x = 66,909,725.81/9,808.29
  6. Step 6: Final answer
    x = 6,821.75

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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.