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Finding the Fourth Proportional to 9,477.65, 14,219.53 and 4,547.63

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Solution

The fourth proportional to 9,477.65, 14,219.53 and 4,547.63 is: 6,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.65 : 14,219.53 = 4,547.63 : x
  2. Step 2: Convert to fraction form
    9,477.65/14,219.53 = 4,547.63/x
  3. Step 3: Cross multiply
    9,477.65x = 14,219.53 × 4,547.63
  4. Step 4: Simplify right side
    9,477.65x = 64,665,185.39
  5. Step 5: Solve for x
    x = 64,665,185.39/9,477.65
  6. Step 6: Final answer
    x = 6,822.91

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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.