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Finding the Fourth Proportional to 9,971.02, 14,955.63 and 3,045.52

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Solution

The fourth proportional to 9,971.02, 14,955.63 and 3,045.52 is: 4,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.02 : 14,955.63 = 3,045.52 : x
  2. Step 2: Convert to fraction form
    9,971.02/14,955.63 = 3,045.52/x
  3. Step 3: Cross multiply
    9,971.02x = 14,955.63 × 3,045.52
  4. Step 4: Simplify right side
    9,971.02x = 45,547,670.28
  5. Step 5: Solve for x
    x = 45,547,670.28/9,971.02
  6. Step 6: Final answer
    x = 4,568.01

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Why These Related Problems?

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