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Finding the Fourth Proportional to 9,547, 14,320.86 and 2,973.16

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Solution

The fourth proportional to 9,547, 14,320.86 and 2,973.16 is: 4,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547 : 14,320.86 = 2,973.16 : x
  2. Step 2: Convert to fraction form
    9,547/14,320.86 = 2,973.16/x
  3. Step 3: Cross multiply
    9,547x = 14,320.86 × 2,973.16
  4. Step 4: Simplify right side
    9,547x = 42,578,208.12
  5. Step 5: Solve for x
    x = 42,578,208.12/9,547
  6. Step 6: Final answer
    x = 4,459.85

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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.